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Finding the Fourth Proportional to 25,646.88, 35,398.36 and 16,213.60

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Solution

The fourth proportional to 25,646.88, 35,398.36 and 16,213.60 is: 22,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.88 : 35,398.36 = 16,213.60 : x
  2. Step 2: Convert to fraction form
    25,646.88/35,398.36 = 16,213.60/x
  3. Step 3: Cross multiply
    25,646.88x = 35,398.36 × 16,213.60
  4. Step 4: Simplify right side
    25,646.88x = 573,934,849.70
  5. Step 5: Solve for x
    x = 573,934,849.70/25,646.88
  6. Step 6: Final answer
    x = 22,378.35

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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.