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Finding the Fourth Proportional to 15,874.17, 21,893.72 and 10,209.57

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Solution

The fourth proportional to 15,874.17, 21,893.72 and 10,209.57 is: 14,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.17 : 21,893.72 = 10,209.57 : x
  2. Step 2: Convert to fraction form
    15,874.17/21,893.72 = 10,209.57/x
  3. Step 3: Cross multiply
    15,874.17x = 21,893.72 × 10,209.57
  4. Step 4: Simplify right side
    15,874.17x = 223,525,466.90
  5. Step 5: Solve for x
    x = 223,525,466.90/15,874.17
  6. Step 6: Final answer
    x = 14,081.08

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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.