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Finding the Fourth Proportional to 24,476.70, 36,724.65 and 8,895.90

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Solution

The fourth proportional to 24,476.70, 36,724.65 and 8,895.90 is: 13,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.70 : 36,724.65 = 8,895.90 : x
  2. Step 2: Convert to fraction form
    24,476.70/36,724.65 = 8,895.90/x
  3. Step 3: Cross multiply
    24,476.70x = 36,724.65 × 8,895.90
  4. Step 4: Simplify right side
    24,476.70x = 326,698,813.94
  5. Step 5: Solve for x
    x = 326,698,813.94/24,476.70
  6. Step 6: Final answer
    x = 13,347.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.