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Finding the Fourth Proportional to 24,454.84, 36,672.90 and 10,406.08

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Solution

The fourth proportional to 24,454.84, 36,672.90 and 10,406.08 is: 15,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.84 : 36,672.90 = 10,406.08 : x
  2. Step 2: Convert to fraction form
    24,454.84/36,672.90 = 10,406.08/x
  3. Step 3: Cross multiply
    24,454.84x = 36,672.90 × 10,406.08
  4. Step 4: Simplify right side
    24,454.84x = 381,621,131.23
  5. Step 5: Solve for x
    x = 381,621,131.23/24,454.84
  6. Step 6: Final answer
    x = 15,605.14

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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.