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Finding the Fourth Proportional to 24,019, 36,041.46 and 11,707

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Solution

The fourth proportional to 24,019, 36,041.46 and 11,707 is: 17,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019 : 36,041.46 = 11,707 : x
  2. Step 2: Convert to fraction form
    24,019/36,041.46 = 11,707/x
  3. Step 3: Cross multiply
    24,019x = 36,041.46 × 11,707
  4. Step 4: Simplify right side
    24,019x = 421,937,372.22
  5. Step 5: Solve for x
    x = 421,937,372.22/24,019
  6. Step 6: Final answer
    x = 17,566.82

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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.