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Finding the Fourth Proportional to 13,703.75, 20,543.30 and 4,932.50

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Solution

The fourth proportional to 13,703.75, 20,543.30 and 4,932.50 is: 7,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.75 : 20,543.30 = 4,932.50 : x
  2. Step 2: Convert to fraction form
    13,703.75/20,543.30 = 4,932.50/x
  3. Step 3: Cross multiply
    13,703.75x = 20,543.30 × 4,932.50
  4. Step 4: Simplify right side
    13,703.75x = 101,329,802.59
  5. Step 5: Solve for x
    x = 101,329,802.59/13,703.75
  6. Step 6: Final answer
    x = 7,394.31

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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.