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Finding the Fourth Proportional to 16,652.47, 22,981.49 and 9,578.74

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Solution

The fourth proportional to 16,652.47, 22,981.49 and 9,578.74 is: 13,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.47 : 22,981.49 = 9,578.74 : x
  2. Step 2: Convert to fraction form
    16,652.47/22,981.49 = 9,578.74/x
  3. Step 3: Cross multiply
    16,652.47x = 22,981.49 × 9,578.74
  4. Step 4: Simplify right side
    16,652.47x = 220,133,717.52
  5. Step 5: Solve for x
    x = 220,133,717.52/16,652.47
  6. Step 6: Final answer
    x = 13,219.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.