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Finding the Fourth Proportional to 20,888.84, 28,826.55 and 11,457.38

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Solution

The fourth proportional to 20,888.84, 28,826.55 and 11,457.38 is: 15,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.84 : 28,826.55 = 11,457.38 : x
  2. Step 2: Convert to fraction form
    20,888.84/28,826.55 = 11,457.38/x
  3. Step 3: Cross multiply
    20,888.84x = 28,826.55 × 11,457.38
  4. Step 4: Simplify right side
    20,888.84x = 330,276,593.31
  5. Step 5: Solve for x
    x = 330,276,593.31/20,888.84
  6. Step 6: Final answer
    x = 15,811.15

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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.