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Finding the Fourth Proportional to 17,687.98, 24,409.47 and 9,730.81

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Solution

The fourth proportional to 17,687.98, 24,409.47 and 9,730.81 is: 13,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.98 : 24,409.47 = 9,730.81 : x
  2. Step 2: Convert to fraction form
    17,687.98/24,409.47 = 9,730.81/x
  3. Step 3: Cross multiply
    17,687.98x = 24,409.47 × 9,730.81
  4. Step 4: Simplify right side
    17,687.98x = 237,523,914.77
  5. Step 5: Solve for x
    x = 237,523,914.77/17,687.98
  6. Step 6: Final answer
    x = 13,428.55

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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.