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Finding the Fourth Proportional to 24,643.19, 36,981.19 and 9,060.82

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Solution

The fourth proportional to 24,643.19, 36,981.19 and 9,060.82 is: 13,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.19 : 36,981.19 = 9,060.82 : x
  2. Step 2: Convert to fraction form
    24,643.19/36,981.19 = 9,060.82/x
  3. Step 3: Cross multiply
    24,643.19x = 36,981.19 × 9,060.82
  4. Step 4: Simplify right side
    24,643.19x = 335,079,905.98
  5. Step 5: Solve for x
    x = 335,079,905.98/24,643.19
  6. Step 6: Final answer
    x = 13,597.26

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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.