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Finding the Fourth Proportional to 25,693, 35,459.24 and 14,515.72

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Solution

The fourth proportional to 25,693, 35,459.24 and 14,515.72 is: 20,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693 : 35,459.24 = 14,515.72 : x
  2. Step 2: Convert to fraction form
    25,693/35,459.24 = 14,515.72/x
  3. Step 3: Cross multiply
    25,693x = 35,459.24 × 14,515.72
  4. Step 4: Simplify right side
    25,693x = 514,716,399.25
  5. Step 5: Solve for x
    x = 514,716,399.25/25,693
  6. Step 6: Final answer
    x = 20,033.33

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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.