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Finding the Fourth Proportional to 17,130.10, 25,692.07 and 4,648.41

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Solution

The fourth proportional to 17,130.10, 25,692.07 and 4,648.41 is: 6,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.10 : 25,692.07 = 4,648.41 : x
  2. Step 2: Convert to fraction form
    17,130.10/25,692.07 = 4,648.41/x
  3. Step 3: Cross multiply
    17,130.10x = 25,692.07 × 4,648.41
  4. Step 4: Simplify right side
    17,130.10x = 119,427,275.11
  5. Step 5: Solve for x
    x = 119,427,275.11/17,130.10
  6. Step 6: Final answer
    x = 6,971.78

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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.