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Finding the Fourth Proportional to 17,099.10, 25,648.65 and 9,726.30

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Solution

The fourth proportional to 17,099.10, 25,648.65 and 9,726.30 is: 14,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.10 : 25,648.65 = 9,726.30 : x
  2. Step 2: Convert to fraction form
    17,099.10/25,648.65 = 9,726.30/x
  3. Step 3: Cross multiply
    17,099.10x = 25,648.65 × 9,726.30
  4. Step 4: Simplify right side
    17,099.10x = 249,466,464.50
  5. Step 5: Solve for x
    x = 249,466,464.50/17,099.10
  6. Step 6: Final answer
    x = 14,589.45

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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.