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Finding the Fourth Proportional to 24,195.45, 36,298.35 and 8,400.97

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Solution

The fourth proportional to 24,195.45, 36,298.35 and 8,400.97 is: 12,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195.45 : 36,298.35 = 8,400.97 : x
  2. Step 2: Convert to fraction form
    24,195.45/36,298.35 = 8,400.97/x
  3. Step 3: Cross multiply
    24,195.45x = 36,298.35 × 8,400.97
  4. Step 4: Simplify right side
    24,195.45x = 304,941,349.40
  5. Step 5: Solve for x
    x = 304,941,349.40/24,195.45
  6. Step 6: Final answer
    x = 12,603.25

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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.