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Finding the Fourth Proportional to 16,389.16, 22,617 and 8,937.16

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Solution

The fourth proportional to 16,389.16, 22,617 and 8,937.16 is: 12,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.16 : 22,617 = 8,937.16 : x
  2. Step 2: Convert to fraction form
    16,389.16/22,617 = 8,937.16/x
  3. Step 3: Cross multiply
    16,389.16x = 22,617 × 8,937.16
  4. Step 4: Simplify right side
    16,389.16x = 202,131,747.72
  5. Step 5: Solve for x
    x = 202,131,747.72/16,389.16
  6. Step 6: Final answer
    x = 12,333.26

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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.