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Finding the Fourth Proportional to 17,705.10, 26,545.34 and 7,839.00

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Solution

The fourth proportional to 17,705.10, 26,545.34 and 7,839.00 is: 11,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.10 : 26,545.34 = 7,839.00 : x
  2. Step 2: Convert to fraction form
    17,705.10/26,545.34 = 7,839.00/x
  3. Step 3: Cross multiply
    17,705.10x = 26,545.34 × 7,839.00
  4. Step 4: Simplify right side
    17,705.10x = 208,088,787.53
  5. Step 5: Solve for x
    x = 208,088,787.53/17,705.10
  6. Step 6: Final answer
    x = 11,753.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.