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Finding the Fourth Proportional to 17,875.91, 24,661.72 and 10,320.78

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Solution

The fourth proportional to 17,875.91, 24,661.72 and 10,320.78 is: 14,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.91 : 24,661.72 = 10,320.78 : x
  2. Step 2: Convert to fraction form
    17,875.91/24,661.72 = 10,320.78/x
  3. Step 3: Cross multiply
    17,875.91x = 24,661.72 × 10,320.78
  4. Step 4: Simplify right side
    17,875.91x = 254,528,129.83
  5. Step 5: Solve for x
    x = 254,528,129.83/17,875.91
  6. Step 6: Final answer
    x = 14,238.61

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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.