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Finding the Fourth Proportional to 16,255.80, 22,429.02 and 9,541.80

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Solution

The fourth proportional to 16,255.80, 22,429.02 and 9,541.80 is: 13,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.80 : 22,429.02 = 9,541.80 : x
  2. Step 2: Convert to fraction form
    16,255.80/22,429.02 = 9,541.80/x
  3. Step 3: Cross multiply
    16,255.80x = 22,429.02 × 9,541.80
  4. Step 4: Simplify right side
    16,255.80x = 214,013,223.04
  5. Step 5: Solve for x
    x = 214,013,223.04/16,255.80
  6. Step 6: Final answer
    x = 13,165.35

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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.