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Finding the Fourth Proportional to 16,661.74, 24,941.12 and 9,146.50

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Solution

The fourth proportional to 16,661.74, 24,941.12 and 9,146.50 is: 13,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.74 : 24,941.12 = 9,146.50 : x
  2. Step 2: Convert to fraction form
    16,661.74/24,941.12 = 9,146.50/x
  3. Step 3: Cross multiply
    16,661.74x = 24,941.12 × 9,146.50
  4. Step 4: Simplify right side
    16,661.74x = 228,123,954.08
  5. Step 5: Solve for x
    x = 228,123,954.08/16,661.74
  6. Step 6: Final answer
    x = 13,691.48

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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.