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Finding the Fourth Proportional to 24,178.14, 36,264.09 and 6,649.35

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Solution

The fourth proportional to 24,178.14, 36,264.09 and 6,649.35 is: 9,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.14 : 36,264.09 = 6,649.35 : x
  2. Step 2: Convert to fraction form
    24,178.14/36,264.09 = 6,649.35/x
  3. Step 3: Cross multiply
    24,178.14x = 36,264.09 × 6,649.35
  4. Step 4: Simplify right side
    24,178.14x = 241,132,626.84
  5. Step 5: Solve for x
    x = 241,132,626.84/24,178.14
  6. Step 6: Final answer
    x = 9,973.17

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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.