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Finding the Fourth Proportional to 24,726.40, 37,092 and 7,195.84

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Solution

The fourth proportional to 24,726.40, 37,092 and 7,195.84 is: 10,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726.40 : 37,092 = 7,195.84 : x
  2. Step 2: Convert to fraction form
    24,726.40/37,092 = 7,195.84/x
  3. Step 3: Cross multiply
    24,726.40x = 37,092 × 7,195.84
  4. Step 4: Simplify right side
    24,726.40x = 266,908,097.28
  5. Step 5: Solve for x
    x = 266,908,097.28/24,726.40
  6. Step 6: Final answer
    x = 10,794.46

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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.