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Finding the Fourth Proportional to 21,006.25, 31,514.28 and 7,155.25

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Solution

The fourth proportional to 21,006.25, 31,514.28 and 7,155.25 is: 10,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.25 : 31,514.28 = 7,155.25 : x
  2. Step 2: Convert to fraction form
    21,006.25/31,514.28 = 7,155.25/x
  3. Step 3: Cross multiply
    21,006.25x = 31,514.28 × 7,155.25
  4. Step 4: Simplify right side
    21,006.25x = 225,492,551.97
  5. Step 5: Solve for x
    x = 225,492,551.97/21,006.25
  6. Step 6: Final answer
    x = 10,734.55

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