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Finding the Fourth Proportional to 23,534.34, 32,481.99 and 14,585.82

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Solution

The fourth proportional to 23,534.34, 32,481.99 and 14,585.82 is: 20,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.34 : 32,481.99 = 14,585.82 : x
  2. Step 2: Convert to fraction form
    23,534.34/32,481.99 = 14,585.82/x
  3. Step 3: Cross multiply
    23,534.34x = 32,481.99 × 14,585.82
  4. Step 4: Simplify right side
    23,534.34x = 473,776,459.38
  5. Step 5: Solve for x
    x = 473,776,459.38/23,534.34
  6. Step 6: Final answer
    x = 20,131.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.