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Finding the Fourth Proportional to 22,712.80, 34,031.40 and 16,465

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Solution

The fourth proportional to 22,712.80, 34,031.40 and 16,465 is: 24,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.80 : 34,031.40 = 16,465 : x
  2. Step 2: Convert to fraction form
    22,712.80/34,031.40 = 16,465/x
  3. Step 3: Cross multiply
    22,712.80x = 34,031.40 × 16,465
  4. Step 4: Simplify right side
    22,712.80x = 560,327,001
  5. Step 5: Solve for x
    x = 560,327,001/22,712.80
  6. Step 6: Final answer
    x = 24,670.10

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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.