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Finding the Fourth Proportional to 12,828.32, 17,703.12 and 7,239.20

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Solution

The fourth proportional to 12,828.32, 17,703.12 and 7,239.20 is: 9,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.32 : 17,703.12 = 7,239.20 : x
  2. Step 2: Convert to fraction form
    12,828.32/17,703.12 = 7,239.20/x
  3. Step 3: Cross multiply
    12,828.32x = 17,703.12 × 7,239.20
  4. Step 4: Simplify right side
    12,828.32x = 128,156,426.30
  5. Step 5: Solve for x
    x = 128,156,426.30/12,828.32
  6. Step 6: Final answer
    x = 9,990.12

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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.