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Finding the Fourth Proportional to 24,232.36, 36,341.82 and 6,700.84

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Solution

The fourth proportional to 24,232.36, 36,341.82 and 6,700.84 is: 10,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.36 : 36,341.82 = 6,700.84 : x
  2. Step 2: Convert to fraction form
    24,232.36/36,341.82 = 6,700.84/x
  3. Step 3: Cross multiply
    24,232.36x = 36,341.82 × 6,700.84
  4. Step 4: Simplify right side
    24,232.36x = 243,520,721.13
  5. Step 5: Solve for x
    x = 243,520,721.13/24,232.36
  6. Step 6: Final answer
    x = 10,049.40

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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.