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Finding the Fourth Proportional to 19,655.50, 29,501.52 and 9,131.17

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Solution

The fourth proportional to 19,655.50, 29,501.52 and 9,131.17 is: 13,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.50 : 29,501.52 = 9,131.17 : x
  2. Step 2: Convert to fraction form
    19,655.50/29,501.52 = 9,131.17/x
  3. Step 3: Cross multiply
    19,655.50x = 29,501.52 × 9,131.17
  4. Step 4: Simplify right side
    19,655.50x = 269,383,394.38
  5. Step 5: Solve for x
    x = 269,383,394.38/19,655.50
  6. Step 6: Final answer
    x = 13,705.24

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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.