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Finding the Fourth Proportional to 24,130.86, 36,200.97 and 10,279.50

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Solution

The fourth proportional to 24,130.86, 36,200.97 and 10,279.50 is: 15,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.86 : 36,200.97 = 10,279.50 : x
  2. Step 2: Convert to fraction form
    24,130.86/36,200.97 = 10,279.50/x
  3. Step 3: Cross multiply
    24,130.86x = 36,200.97 × 10,279.50
  4. Step 4: Simplify right side
    24,130.86x = 372,127,871.12
  5. Step 5: Solve for x
    x = 372,127,871.12/24,130.86
  6. Step 6: Final answer
    x = 15,421.24

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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.