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Finding the Fourth Proportional to 24,417, 36,625.88 and 6,887.28

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Solution

The fourth proportional to 24,417, 36,625.88 and 6,887.28 is: 10,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417 : 36,625.88 = 6,887.28 : x
  2. Step 2: Convert to fraction form
    24,417/36,625.88 = 6,887.28/x
  3. Step 3: Cross multiply
    24,417x = 36,625.88 × 6,887.28
  4. Step 4: Simplify right side
    24,417x = 252,252,690.81
  5. Step 5: Solve for x
    x = 252,252,690.81/24,417
  6. Step 6: Final answer
    x = 10,331.03

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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.