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Finding the Fourth Proportional to 14,565.96, 20,085.08 and 9,842.04

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Solution

The fourth proportional to 14,565.96, 20,085.08 and 9,842.04 is: 13,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.96 : 20,085.08 = 9,842.04 : x
  2. Step 2: Convert to fraction form
    14,565.96/20,085.08 = 9,842.04/x
  3. Step 3: Cross multiply
    14,565.96x = 20,085.08 × 9,842.04
  4. Step 4: Simplify right side
    14,565.96x = 197,678,160.76
  5. Step 5: Solve for x
    x = 197,678,160.76/14,565.96
  6. Step 6: Final answer
    x = 13,571.24

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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.