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Finding the Fourth Proportional to 14,864.76, 22,293.42 and 6,102.12

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Solution

The fourth proportional to 14,864.76, 22,293.42 and 6,102.12 is: 9,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.76 : 22,293.42 = 6,102.12 : x
  2. Step 2: Convert to fraction form
    14,864.76/22,293.42 = 6,102.12/x
  3. Step 3: Cross multiply
    14,864.76x = 22,293.42 × 6,102.12
  4. Step 4: Simplify right side
    14,864.76x = 136,037,124.05
  5. Step 5: Solve for x
    x = 136,037,124.05/14,864.76
  6. Step 6: Final answer
    x = 9,151.65

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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.