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Finding the Fourth Proportional to 13,690.12, 18,892.38 and 7,402.50

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Solution

The fourth proportional to 13,690.12, 18,892.38 and 7,402.50 is: 10,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.12 : 18,892.38 = 7,402.50 : x
  2. Step 2: Convert to fraction form
    13,690.12/18,892.38 = 7,402.50/x
  3. Step 3: Cross multiply
    13,690.12x = 18,892.38 × 7,402.50
  4. Step 4: Simplify right side
    13,690.12x = 139,850,842.95
  5. Step 5: Solve for x
    x = 139,850,842.95/13,690.12
  6. Step 6: Final answer
    x = 10,215.46

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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.