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Finding the Fourth Proportional to 16,508.18, 22,785.63 and 10,225.82

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Solution

The fourth proportional to 16,508.18, 22,785.63 and 10,225.82 is: 14,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.18 : 22,785.63 = 10,225.82 : x
  2. Step 2: Convert to fraction form
    16,508.18/22,785.63 = 10,225.82/x
  3. Step 3: Cross multiply
    16,508.18x = 22,785.63 × 10,225.82
  4. Step 4: Simplify right side
    16,508.18x = 233,001,750.97
  5. Step 5: Solve for x
    x = 233,001,750.97/16,508.18
  6. Step 6: Final answer
    x = 14,114.32

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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.