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Finding the Fourth Proportional to 14,863.76, 22,291.92 and 6,101.12

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Solution

The fourth proportional to 14,863.76, 22,291.92 and 6,101.12 is: 9,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.76 : 22,291.92 = 6,101.12 : x
  2. Step 2: Convert to fraction form
    14,863.76/22,291.92 = 6,101.12/x
  3. Step 3: Cross multiply
    14,863.76x = 22,291.92 × 6,101.12
  4. Step 4: Simplify right side
    14,863.76x = 136,005,678.95
  5. Step 5: Solve for x
    x = 136,005,678.95/14,863.76
  6. Step 6: Final answer
    x = 9,150.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.