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Finding the Fourth Proportional to 17,862.48, 24,651.96 and 10,410

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Solution

The fourth proportional to 17,862.48, 24,651.96 and 10,410 is: 14,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.48 : 24,651.96 = 10,410 : x
  2. Step 2: Convert to fraction form
    17,862.48/24,651.96 = 10,410/x
  3. Step 3: Cross multiply
    17,862.48x = 24,651.96 × 10,410
  4. Step 4: Simplify right side
    17,862.48x = 256,626,903.60
  5. Step 5: Solve for x
    x = 256,626,903.60/17,862.48
  6. Step 6: Final answer
    x = 14,366.81

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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.