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Finding the Fourth Proportional to 14,318.32, 19,755.24 and 9,282.76

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Solution

The fourth proportional to 14,318.32, 19,755.24 and 9,282.76 is: 12,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.32 : 19,755.24 = 9,282.76 : x
  2. Step 2: Convert to fraction form
    14,318.32/19,755.24 = 9,282.76/x
  3. Step 3: Cross multiply
    14,318.32x = 19,755.24 × 9,282.76
  4. Step 4: Simplify right side
    14,318.32x = 183,383,151.66
  5. Step 5: Solve for x
    x = 183,383,151.66/14,318.32
  6. Step 6: Final answer
    x = 12,807.59

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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.