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Finding the Fourth Proportional to 24,683.72, 37,008.29 and 9,097.16

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Solution

The fourth proportional to 24,683.72, 37,008.29 and 9,097.16 is: 13,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683.72 : 37,008.29 = 9,097.16 : x
  2. Step 2: Convert to fraction form
    24,683.72/37,008.29 = 9,097.16/x
  3. Step 3: Cross multiply
    24,683.72x = 37,008.29 × 9,097.16
  4. Step 4: Simplify right side
    24,683.72x = 336,670,173.16
  5. Step 5: Solve for x
    x = 336,670,173.16/24,683.72
  6. Step 6: Final answer
    x = 13,639.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.