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Finding the Fourth Proportional to 25,766.96, 35,557.44 and 14,588.96

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Solution

The fourth proportional to 25,766.96, 35,557.44 and 14,588.96 is: 20,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,766.96 : 35,557.44 = 14,588.96 : x
  2. Step 2: Convert to fraction form
    25,766.96/35,557.44 = 14,588.96/x
  3. Step 3: Cross multiply
    25,766.96x = 35,557.44 × 14,588.96
  4. Step 4: Simplify right side
    25,766.96x = 518,746,069.86
  5. Step 5: Solve for x
    x = 518,746,069.86/25,766.96
  6. Step 6: Final answer
    x = 20,132.22

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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.