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Finding the Fourth Proportional to 24,165.96, 36,248.49 and 9,931.44

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Solution

The fourth proportional to 24,165.96, 36,248.49 and 9,931.44 is: 14,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165.96 : 36,248.49 = 9,931.44 : x
  2. Step 2: Convert to fraction form
    24,165.96/36,248.49 = 9,931.44/x
  3. Step 3: Cross multiply
    24,165.96x = 36,248.49 × 9,931.44
  4. Step 4: Simplify right side
    24,165.96x = 359,999,703.53
  5. Step 5: Solve for x
    x = 359,999,703.53/24,165.96
  6. Step 6: Final answer
    x = 14,896.98

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1.5x scale

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.