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Finding the Fourth Proportional to 20,702.13, 31,053.69 and 7,554.50

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Solution

The fourth proportional to 20,702.13, 31,053.69 and 7,554.50 is: 11,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.13 : 31,053.69 = 7,554.50 : x
  2. Step 2: Convert to fraction form
    20,702.13/31,053.69 = 7,554.50/x
  3. Step 3: Cross multiply
    20,702.13x = 31,053.69 × 7,554.50
  4. Step 4: Simplify right side
    20,702.13x = 234,594,945.84
  5. Step 5: Solve for x
    x = 234,594,945.84/20,702.13
  6. Step 6: Final answer
    x = 11,331.92

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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.