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Finding the Fourth Proportional to 24,483.96, 36,711.34 and 9,695

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Solution

The fourth proportional to 24,483.96, 36,711.34 and 9,695 is: 14,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.96 : 36,711.34 = 9,695 : x
  2. Step 2: Convert to fraction form
    24,483.96/36,711.34 = 9,695/x
  3. Step 3: Cross multiply
    24,483.96x = 36,711.34 × 9,695
  4. Step 4: Simplify right side
    24,483.96x = 355,916,441.30
  5. Step 5: Solve for x
    x = 355,916,441.30/24,483.96
  6. Step 6: Final answer
    x = 14,536.72

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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.