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Finding the Fourth Proportional to 16,141, 22,275.80 and 9,854.59

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Solution

The fourth proportional to 16,141, 22,275.80 and 9,854.59 is: 13,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141 : 22,275.80 = 9,854.59 : x
  2. Step 2: Convert to fraction form
    16,141/22,275.80 = 9,854.59/x
  3. Step 3: Cross multiply
    16,141x = 22,275.80 × 9,854.59
  4. Step 4: Simplify right side
    16,141x = 219,518,875.92
  5. Step 5: Solve for x
    x = 219,518,875.92/16,141
  6. Step 6: Final answer
    x = 13,600.08

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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.