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Finding the Fourth Proportional to 20,842.14, 28,762.47 and 11,411.58

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Solution

The fourth proportional to 20,842.14, 28,762.47 and 11,411.58 is: 15,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.14 : 28,762.47 = 11,411.58 : x
  2. Step 2: Convert to fraction form
    20,842.14/28,762.47 = 11,411.58/x
  3. Step 3: Cross multiply
    20,842.14x = 28,762.47 × 11,411.58
  4. Step 4: Simplify right side
    20,842.14x = 328,225,227.40
  5. Step 5: Solve for x
    x = 328,225,227.40/20,842.14
  6. Step 6: Final answer
    x = 15,748.15

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