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Finding the Fourth Proportional to 12,934.49, 17,832.76 and 9,752.40

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Solution

The fourth proportional to 12,934.49, 17,832.76 and 9,752.40 is: 13,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.49 : 17,832.76 = 9,752.40 : x
  2. Step 2: Convert to fraction form
    12,934.49/17,832.76 = 9,752.40/x
  3. Step 3: Cross multiply
    12,934.49x = 17,832.76 × 9,752.40
  4. Step 4: Simplify right side
    12,934.49x = 173,912,184.24
  5. Step 5: Solve for x
    x = 173,912,184.24/12,934.49
  6. Step 6: Final answer
    x = 13,445.62

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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.