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Finding the Fourth Proportional to 24,417.61, 36,627.84 and 9,424.81

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Solution

The fourth proportional to 24,417.61, 36,627.84 and 9,424.81 is: 14,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.61 : 36,627.84 = 9,424.81 : x
  2. Step 2: Convert to fraction form
    24,417.61/36,627.84 = 9,424.81/x
  3. Step 3: Cross multiply
    24,417.61x = 36,627.84 × 9,424.81
  4. Step 4: Simplify right side
    24,417.61x = 345,210,432.71
  5. Step 5: Solve for x
    x = 345,210,432.71/24,417.61
  6. Step 6: Final answer
    x = 14,137.77

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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.