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Finding the Fourth Proportional to 14,842.59, 20,477.18 and 9,740.94

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Solution

The fourth proportional to 14,842.59, 20,477.18 and 9,740.94 is: 13,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.59 : 20,477.18 = 9,740.94 : x
  2. Step 2: Convert to fraction form
    14,842.59/20,477.18 = 9,740.94/x
  3. Step 3: Cross multiply
    14,842.59x = 20,477.18 × 9,740.94
  4. Step 4: Simplify right side
    14,842.59x = 199,466,981.75
  5. Step 5: Solve for x
    x = 199,466,981.75/14,842.59
  6. Step 6: Final answer
    x = 13,438.83

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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.