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Finding the Fourth Proportional to 25,444.78, 35,114.76 and 14,114.30

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Solution

The fourth proportional to 25,444.78, 35,114.76 and 14,114.30 is: 19,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.78 : 35,114.76 = 14,114.30 : x
  2. Step 2: Convert to fraction form
    25,444.78/35,114.76 = 14,114.30/x
  3. Step 3: Cross multiply
    25,444.78x = 35,114.76 × 14,114.30
  4. Step 4: Simplify right side
    25,444.78x = 495,620,257.07
  5. Step 5: Solve for x
    x = 495,620,257.07/25,444.78
  6. Step 6: Final answer
    x = 19,478.27

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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.