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Finding the Fourth Proportional to 24,912.72, 37,360.88 and 9,114.16

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Solution

The fourth proportional to 24,912.72, 37,360.88 and 9,114.16 is: 13,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.72 : 37,360.88 = 9,114.16 : x
  2. Step 2: Convert to fraction form
    24,912.72/37,360.88 = 9,114.16/x
  3. Step 3: Cross multiply
    24,912.72x = 37,360.88 × 9,114.16
  4. Step 4: Simplify right side
    24,912.72x = 340,513,038.06
  5. Step 5: Solve for x
    x = 340,513,038.06/24,912.72
  6. Step 6: Final answer
    x = 13,668.24

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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.