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Finding the Fourth Proportional to 17,281.40, 25,917.24 and 4,798.40

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Solution

The fourth proportional to 17,281.40, 25,917.24 and 4,798.40 is: 7,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.40 : 25,917.24 = 4,798.40 : x
  2. Step 2: Convert to fraction form
    17,281.40/25,917.24 = 4,798.40/x
  3. Step 3: Cross multiply
    17,281.40x = 25,917.24 × 4,798.40
  4. Step 4: Simplify right side
    17,281.40x = 124,361,284.42
  5. Step 5: Solve for x
    x = 124,361,284.42/17,281.40
  6. Step 6: Final answer
    x = 7,196.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.