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Finding the Fourth Proportional to 24,762.20, 37,145.02 and 9,971.16

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Solution

The fourth proportional to 24,762.20, 37,145.02 and 9,971.16 is: 14,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.20 : 37,145.02 = 9,971.16 : x
  2. Step 2: Convert to fraction form
    24,762.20/37,145.02 = 9,971.16/x
  3. Step 3: Cross multiply
    24,762.20x = 37,145.02 × 9,971.16
  4. Step 4: Simplify right side
    24,762.20x = 370,378,937.62
  5. Step 5: Solve for x
    x = 370,378,937.62/24,762.20
  6. Step 6: Final answer
    x = 14,957.43

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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.