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Finding the Fourth Proportional to 25,707.68, 35,480.40 and 16,277.12

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Solution

The fourth proportional to 25,707.68, 35,480.40 and 16,277.12 is: 22,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.68 : 35,480.40 = 16,277.12 : x
  2. Step 2: Convert to fraction form
    25,707.68/35,480.40 = 16,277.12/x
  3. Step 3: Cross multiply
    25,707.68x = 35,480.40 × 16,277.12
  4. Step 4: Simplify right side
    25,707.68x = 577,518,728.45
  5. Step 5: Solve for x
    x = 577,518,728.45/25,707.68
  6. Step 6: Final answer
    x = 22,464.83

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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.