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Finding the Fourth Proportional to 24,148.13, 36,222.19 and 10,297.13

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Solution

The fourth proportional to 24,148.13, 36,222.19 and 10,297.13 is: 15,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.13 : 36,222.19 = 10,297.13 : x
  2. Step 2: Convert to fraction form
    24,148.13/36,222.19 = 10,297.13/x
  3. Step 3: Cross multiply
    24,148.13x = 36,222.19 × 10,297.13
  4. Step 4: Simplify right side
    24,148.13x = 372,984,392.46
  5. Step 5: Solve for x
    x = 372,984,392.46/24,148.13
  6. Step 6: Final answer
    x = 15,445.69

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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.