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Finding the Fourth Proportional to 16,652.90, 22,981.16 and 9,099.46

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Solution

The fourth proportional to 16,652.90, 22,981.16 and 9,099.46 is: 12,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.90 : 22,981.16 = 9,099.46 : x
  2. Step 2: Convert to fraction form
    16,652.90/22,981.16 = 9,099.46/x
  3. Step 3: Cross multiply
    16,652.90x = 22,981.16 × 9,099.46
  4. Step 4: Simplify right side
    16,652.90x = 209,116,146.17
  5. Step 5: Solve for x
    x = 209,116,146.17/16,652.90
  6. Step 6: Final answer
    x = 12,557.34

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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.