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Finding the Fourth Proportional to 14,411.54, 19,887.66 and 8,123.92

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Solution

The fourth proportional to 14,411.54, 19,887.66 and 8,123.92 is: 11,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.54 : 19,887.66 = 8,123.92 : x
  2. Step 2: Convert to fraction form
    14,411.54/19,887.66 = 8,123.92/x
  3. Step 3: Cross multiply
    14,411.54x = 19,887.66 × 8,123.92
  4. Step 4: Simplify right side
    14,411.54x = 161,565,758.83
  5. Step 5: Solve for x
    x = 161,565,758.83/14,411.54
  6. Step 6: Final answer
    x = 11,210.86

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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.