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Finding the Fourth Proportional to 12,537.50, 17,301.06 and 6,872.24

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Solution

The fourth proportional to 12,537.50, 17,301.06 and 6,872.24 is: 9,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.50 : 17,301.06 = 6,872.24 : x
  2. Step 2: Convert to fraction form
    12,537.50/17,301.06 = 6,872.24/x
  3. Step 3: Cross multiply
    12,537.50x = 17,301.06 × 6,872.24
  4. Step 4: Simplify right side
    12,537.50x = 118,897,079.83
  5. Step 5: Solve for x
    x = 118,897,079.83/12,537.50
  6. Step 6: Final answer
    x = 9,483.32

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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.