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Finding the Fourth Proportional to 25,447.50, 35,117.30 and 14,117

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Solution

The fourth proportional to 25,447.50, 35,117.30 and 14,117 is: 19,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,447.50 : 35,117.30 = 14,117 : x
  2. Step 2: Convert to fraction form
    25,447.50/35,117.30 = 14,117/x
  3. Step 3: Cross multiply
    25,447.50x = 35,117.30 × 14,117
  4. Step 4: Simplify right side
    25,447.50x = 495,750,924.10
  5. Step 5: Solve for x
    x = 495,750,924.10/25,447.50
  6. Step 6: Final answer
    x = 19,481.32

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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.