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Finding the Fourth Proportional to 20,407.76, 28,162.76 and 11,455.07

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Solution

The fourth proportional to 20,407.76, 28,162.76 and 11,455.07 is: 15,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.76 : 28,162.76 = 11,455.07 : x
  2. Step 2: Convert to fraction form
    20,407.76/28,162.76 = 11,455.07/x
  3. Step 3: Cross multiply
    20,407.76x = 28,162.76 × 11,455.07
  4. Step 4: Simplify right side
    20,407.76x = 322,606,387.19
  5. Step 5: Solve for x
    x = 322,606,387.19/20,407.76
  6. Step 6: Final answer
    x = 15,808.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.