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Finding the Fourth Proportional to 12,801.40, 19,182.62 and 9,499

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Solution

The fourth proportional to 12,801.40, 19,182.62 and 9,499 is: 14,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.40 : 19,182.62 = 9,499 : x
  2. Step 2: Convert to fraction form
    12,801.40/19,182.62 = 9,499/x
  3. Step 3: Cross multiply
    12,801.40x = 19,182.62 × 9,499
  4. Step 4: Simplify right side
    12,801.40x = 182,215,707.38
  5. Step 5: Solve for x
    x = 182,215,707.38/12,801.40
  6. Step 6: Final answer
    x = 14,234.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.