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Finding the Fourth Proportional to 15,862.78, 21,880.74 and 10,204.90

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Solution

The fourth proportional to 15,862.78, 21,880.74 and 10,204.90 is: 14,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.78 : 21,880.74 = 10,204.90 : x
  2. Step 2: Convert to fraction form
    15,862.78/21,880.74 = 10,204.90/x
  3. Step 3: Cross multiply
    15,862.78x = 21,880.74 × 10,204.90
  4. Step 4: Simplify right side
    15,862.78x = 223,290,763.63
  5. Step 5: Solve for x
    x = 223,290,763.63/15,862.78
  6. Step 6: Final answer
    x = 14,076.40

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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.