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Finding the Fourth Proportional to 14,952.13, 20,634.48 and 9,290

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Solution

The fourth proportional to 14,952.13, 20,634.48 and 9,290 is: 12,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.13 : 20,634.48 = 9,290 : x
  2. Step 2: Convert to fraction form
    14,952.13/20,634.48 = 9,290/x
  3. Step 3: Cross multiply
    14,952.13x = 20,634.48 × 9,290
  4. Step 4: Simplify right side
    14,952.13x = 191,694,319.20
  5. Step 5: Solve for x
    x = 191,694,319.20/14,952.13
  6. Step 6: Final answer
    x = 12,820.54

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