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Finding the Fourth Proportional to 14,114.12, 19,472 and 9,077.70

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Solution

The fourth proportional to 14,114.12, 19,472 and 9,077.70 is: 12,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.12 : 19,472 = 9,077.70 : x
  2. Step 2: Convert to fraction form
    14,114.12/19,472 = 9,077.70/x
  3. Step 3: Cross multiply
    14,114.12x = 19,472 × 9,077.70
  4. Step 4: Simplify right side
    14,114.12x = 176,760,974.40
  5. Step 5: Solve for x
    x = 176,760,974.40/14,114.12
  6. Step 6: Final answer
    x = 12,523.70

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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.