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Finding the Fourth Proportional to 28,200.25, 38,917.62 and 15,625

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Solution

The fourth proportional to 28,200.25, 38,917.62 and 15,625 is: 21,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.25 : 38,917.62 = 15,625 : x
  2. Step 2: Convert to fraction form
    28,200.25/38,917.62 = 15,625/x
  3. Step 3: Cross multiply
    28,200.25x = 38,917.62 × 15,625
  4. Step 4: Simplify right side
    28,200.25x = 608,087,812.50
  5. Step 5: Solve for x
    x = 608,087,812.50/28,200.25
  6. Step 6: Final answer
    x = 21,563.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.