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Finding the Fourth Proportional to 24,756.80, 37,168.16 and 14,376

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Solution

The fourth proportional to 24,756.80, 37,168.16 and 14,376 is: 21,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.80 : 37,168.16 = 14,376 : x
  2. Step 2: Convert to fraction form
    24,756.80/37,168.16 = 14,376/x
  3. Step 3: Cross multiply
    24,756.80x = 37,168.16 × 14,376
  4. Step 4: Simplify right side
    24,756.80x = 534,329,468.16
  5. Step 5: Solve for x
    x = 534,329,468.16/24,756.80
  6. Step 6: Final answer
    x = 21,583.14

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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.