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Finding the Fourth Proportional to 24,941.12, 37,411.32 and 7,172.16

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Solution

The fourth proportional to 24,941.12, 37,411.32 and 7,172.16 is: 10,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.12 : 37,411.32 = 7,172.16 : x
  2. Step 2: Convert to fraction form
    24,941.12/37,411.32 = 7,172.16/x
  3. Step 3: Cross multiply
    24,941.12x = 37,411.32 × 7,172.16
  4. Step 4: Simplify right side
    24,941.12x = 268,319,972.85
  5. Step 5: Solve for x
    x = 268,319,972.85/24,941.12
  6. Step 6: Final answer
    x = 10,758.14

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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.