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Finding the Fourth Proportional to 24,894.68, 37,348 and 7,125.60

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Solution

The fourth proportional to 24,894.68, 37,348 and 7,125.60 is: 10,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.68 : 37,348 = 7,125.60 : x
  2. Step 2: Convert to fraction form
    24,894.68/37,348 = 7,125.60/x
  3. Step 3: Cross multiply
    24,894.68x = 37,348 × 7,125.60
  4. Step 4: Simplify right side
    24,894.68x = 266,126,908.80
  5. Step 5: Solve for x
    x = 266,126,908.80/24,894.68
  6. Step 6: Final answer
    x = 10,690.11

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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.