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Finding the Fourth Proportional to 24,710, 34,099.92 and 13,532

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Solution

The fourth proportional to 24,710, 34,099.92 and 13,532 is: 18,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710 : 34,099.92 = 13,532 : x
  2. Step 2: Convert to fraction form
    24,710/34,099.92 = 13,532/x
  3. Step 3: Cross multiply
    24,710x = 34,099.92 × 13,532
  4. Step 4: Simplify right side
    24,710x = 461,440,117.44
  5. Step 5: Solve for x
    x = 461,440,117.44/24,710
  6. Step 6: Final answer
    x = 18,674.23

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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.