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Finding the Fourth Proportional to 25,730.16, 35,507.16 and 14,551.92

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Solution

The fourth proportional to 25,730.16, 35,507.16 and 14,551.92 is: 20,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.16 : 35,507.16 = 14,551.92 : x
  2. Step 2: Convert to fraction form
    25,730.16/35,507.16 = 14,551.92/x
  3. Step 3: Cross multiply
    25,730.16x = 35,507.16 × 14,551.92
  4. Step 4: Simplify right side
    25,730.16x = 516,697,351.75
  5. Step 5: Solve for x
    x = 516,697,351.75/25,730.16
  6. Step 6: Final answer
    x = 20,081.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.