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Finding the Fourth Proportional to 14,318.57, 19,755.58 and 9,283

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Solution

The fourth proportional to 14,318.57, 19,755.58 and 9,283 is: 12,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.57 : 19,755.58 = 9,283 : x
  2. Step 2: Convert to fraction form
    14,318.57/19,755.58 = 9,283/x
  3. Step 3: Cross multiply
    14,318.57x = 19,755.58 × 9,283
  4. Step 4: Simplify right side
    14,318.57x = 183,391,049.14
  5. Step 5: Solve for x
    x = 183,391,049.14/14,318.57
  6. Step 6: Final answer
    x = 12,807.92

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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.