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Finding the Fourth Proportional to 16,355.16, 22,574.94 and 9,642.96

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Solution

The fourth proportional to 16,355.16, 22,574.94 and 9,642.96 is: 13,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355.16 : 22,574.94 = 9,642.96 : x
  2. Step 2: Convert to fraction form
    16,355.16/22,574.94 = 9,642.96/x
  3. Step 3: Cross multiply
    16,355.16x = 22,574.94 × 9,642.96
  4. Step 4: Simplify right side
    16,355.16x = 217,689,243.42
  5. Step 5: Solve for x
    x = 217,689,243.42/16,355.16
  6. Step 6: Final answer
    x = 13,310.13

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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.