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Finding the Fourth Proportional to 13,437.90, 18,551.16 and 8,405.10

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Solution

The fourth proportional to 13,437.90, 18,551.16 and 8,405.10 is: 11,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.90 : 18,551.16 = 8,405.10 : x
  2. Step 2: Convert to fraction form
    13,437.90/18,551.16 = 8,405.10/x
  3. Step 3: Cross multiply
    13,437.90x = 18,551.16 × 8,405.10
  4. Step 4: Simplify right side
    13,437.90x = 155,924,354.92
  5. Step 5: Solve for x
    x = 155,924,354.92/13,437.90
  6. Step 6: Final answer
    x = 11,603.33

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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.