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Finding the Fourth Proportional to 24,751.41, 37,124.10 and 7,221.26

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Solution

The fourth proportional to 24,751.41, 37,124.10 and 7,221.26 is: 10,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.41 : 37,124.10 = 7,221.26 : x
  2. Step 2: Convert to fraction form
    24,751.41/37,124.10 = 7,221.26/x
  3. Step 3: Cross multiply
    24,751.41x = 37,124.10 × 7,221.26
  4. Step 4: Simplify right side
    24,751.41x = 268,082,592.75
  5. Step 5: Solve for x
    x = 268,082,592.75/24,751.41
  6. Step 6: Final answer
    x = 10,831.00

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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.