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Finding the Fourth Proportional to 24,706, 34,094.40 and 13,528

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Solution

The fourth proportional to 24,706, 34,094.40 and 13,528 is: 18,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706 : 34,094.40 = 13,528 : x
  2. Step 2: Convert to fraction form
    24,706/34,094.40 = 13,528/x
  3. Step 3: Cross multiply
    24,706x = 34,094.40 × 13,528
  4. Step 4: Simplify right side
    24,706x = 461,229,043.20
  5. Step 5: Solve for x
    x = 461,229,043.20/24,706
  6. Step 6: Final answer
    x = 18,668.71

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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.