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Finding the Fourth Proportional to 14,864.55, 22,310.68 and 7,849.74

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Solution

The fourth proportional to 14,864.55, 22,310.68 and 7,849.74 is: 11,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.55 : 22,310.68 = 7,849.74 : x
  2. Step 2: Convert to fraction form
    14,864.55/22,310.68 = 7,849.74/x
  3. Step 3: Cross multiply
    14,864.55x = 22,310.68 × 7,849.74
  4. Step 4: Simplify right side
    14,864.55x = 175,133,037.22
  5. Step 5: Solve for x
    x = 175,133,037.22/14,864.55
  6. Step 6: Final answer
    x = 11,781.93

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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.