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Finding the Fourth Proportional to 13,702.55, 18,907.50 and 8,035.16

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Solution

The fourth proportional to 13,702.55, 18,907.50 and 8,035.16 is: 11,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.55 : 18,907.50 = 8,035.16 : x
  2. Step 2: Convert to fraction form
    13,702.55/18,907.50 = 8,035.16/x
  3. Step 3: Cross multiply
    13,702.55x = 18,907.50 × 8,035.16
  4. Step 4: Simplify right side
    13,702.55x = 151,924,693.16
  5. Step 5: Solve for x
    x = 151,924,693.16/13,702.55
  6. Step 6: Final answer
    x = 11,087.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.