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Finding the Fourth Proportional to 25,877.60, 35,700.72 and 16,314.34

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Solution

The fourth proportional to 25,877.60, 35,700.72 and 16,314.34 is: 22,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.60 : 35,700.72 = 16,314.34 : x
  2. Step 2: Convert to fraction form
    25,877.60/35,700.72 = 16,314.34/x
  3. Step 3: Cross multiply
    25,877.60x = 35,700.72 × 16,314.34
  4. Step 4: Simplify right side
    25,877.60x = 582,433,684.32
  5. Step 5: Solve for x
    x = 582,433,684.32/25,877.60
  6. Step 6: Final answer
    x = 22,507.25

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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.