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Finding the Fourth Proportional to 24,704.68, 34,092.12 and 13,526.68

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Solution

The fourth proportional to 24,704.68, 34,092.12 and 13,526.68 is: 18,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.68 : 34,092.12 = 13,526.68 : x
  2. Step 2: Convert to fraction form
    24,704.68/34,092.12 = 13,526.68/x
  3. Step 3: Cross multiply
    24,704.68x = 34,092.12 × 13,526.68
  4. Step 4: Simplify right side
    24,704.68x = 461,153,197.76
  5. Step 5: Solve for x
    x = 461,153,197.76/24,704.68
  6. Step 6: Final answer
    x = 18,666.63

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1.5x scale

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.