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Finding the Fourth Proportional to 12,352.50, 18,528.75 and 3,587.49

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Solution

The fourth proportional to 12,352.50, 18,528.75 and 3,587.49 is: 5,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.50 : 18,528.75 = 3,587.49 : x
  2. Step 2: Convert to fraction form
    12,352.50/18,528.75 = 3,587.49/x
  3. Step 3: Cross multiply
    12,352.50x = 18,528.75 × 3,587.49
  4. Step 4: Simplify right side
    12,352.50x = 66,471,705.34
  5. Step 5: Solve for x
    x = 66,471,705.34/12,352.50
  6. Step 6: Final answer
    x = 5,381.24

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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.