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Finding the Fourth Proportional to 17,077.20, 25,603.65 and 6,543.15

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Solution

The fourth proportional to 17,077.20, 25,603.65 and 6,543.15 is: 9,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.20 : 25,603.65 = 6,543.15 : x
  2. Step 2: Convert to fraction form
    17,077.20/25,603.65 = 6,543.15/x
  3. Step 3: Cross multiply
    17,077.20x = 25,603.65 × 6,543.15
  4. Step 4: Simplify right side
    17,077.20x = 167,528,522.50
  5. Step 5: Solve for x
    x = 167,528,522.50/17,077.20
  6. Step 6: Final answer
    x = 9,810.07

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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.