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Finding the Fourth Proportional to 25,927.69, 38,897.69 and 8,397.49

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Solution

The fourth proportional to 25,927.69, 38,897.69 and 8,397.49 is: 12,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927.69 : 38,897.69 = 8,397.49 : x
  2. Step 2: Convert to fraction form
    25,927.69/38,897.69 = 8,397.49/x
  3. Step 3: Cross multiply
    25,927.69x = 38,897.69 × 8,397.49
  4. Step 4: Simplify right side
    25,927.69x = 326,642,962.80
  5. Step 5: Solve for x
    x = 326,642,962.80/25,927.69
  6. Step 6: Final answer
    x = 12,598.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.