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Finding the Fourth Proportional to 19,347.27, 29,023.48 and 7,657.76

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Solution

The fourth proportional to 19,347.27, 29,023.48 and 7,657.76 is: 11,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347.27 : 29,023.48 = 7,657.76 : x
  2. Step 2: Convert to fraction form
    19,347.27/29,023.48 = 7,657.76/x
  3. Step 3: Cross multiply
    19,347.27x = 29,023.48 × 7,657.76
  4. Step 4: Simplify right side
    19,347.27x = 222,254,699.09
  5. Step 5: Solve for x
    x = 222,254,699.09/19,347.27
  6. Step 6: Final answer
    x = 11,487.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.