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Finding the Fourth Proportional to 17,856.48, 24,641.74 and 10,302.72

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Solution

The fourth proportional to 17,856.48, 24,641.74 and 10,302.72 is: 14,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.48 : 24,641.74 = 10,302.72 : x
  2. Step 2: Convert to fraction form
    17,856.48/24,641.74 = 10,302.72/x
  3. Step 3: Cross multiply
    17,856.48x = 24,641.74 × 10,302.72
  4. Step 4: Simplify right side
    17,856.48x = 253,876,947.53
  5. Step 5: Solve for x
    x = 253,876,947.53/17,856.48
  6. Step 6: Final answer
    x = 14,217.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.