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Finding the Fourth Proportional to 24,232.47, 36,326.70 and 8,646.45

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Solution

The fourth proportional to 24,232.47, 36,326.70 and 8,646.45 is: 12,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.47 : 36,326.70 = 8,646.45 : x
  2. Step 2: Convert to fraction form
    24,232.47/36,326.70 = 8,646.45/x
  3. Step 3: Cross multiply
    24,232.47x = 36,326.70 × 8,646.45
  4. Step 4: Simplify right side
    24,232.47x = 314,096,995.22
  5. Step 5: Solve for x
    x = 314,096,995.22/24,232.47
  6. Step 6: Final answer
    x = 12,961.82

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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.