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Finding the Fourth Proportional to 22,702.34, 34,053.44 and 10,820.09

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Solution

The fourth proportional to 22,702.34, 34,053.44 and 10,820.09 is: 16,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.34 : 34,053.44 = 10,820.09 : x
  2. Step 2: Convert to fraction form
    22,702.34/34,053.44 = 10,820.09/x
  3. Step 3: Cross multiply
    22,702.34x = 34,053.44 × 10,820.09
  4. Step 4: Simplify right side
    22,702.34x = 368,461,397.79
  5. Step 5: Solve for x
    x = 368,461,397.79/22,702.34
  6. Step 6: Final answer
    x = 16,230.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.