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Finding the Fourth Proportional to 24,925.74, 37,371.60 and 9,330

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Solution

The fourth proportional to 24,925.74, 37,371.60 and 9,330 is: 13,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,925.74 : 37,371.60 = 9,330 : x
  2. Step 2: Convert to fraction form
    24,925.74/37,371.60 = 9,330/x
  3. Step 3: Cross multiply
    24,925.74x = 37,371.60 × 9,330
  4. Step 4: Simplify right side
    24,925.74x = 348,677,028
  5. Step 5: Solve for x
    x = 348,677,028/24,925.74
  6. Step 6: Final answer
    x = 13,988.63

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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.