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Finding the Fourth Proportional to 12,874.54, 19,306.95 and 5,482.48

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Solution

The fourth proportional to 12,874.54, 19,306.95 and 5,482.48 is: 8,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.54 : 19,306.95 = 5,482.48 : x
  2. Step 2: Convert to fraction form
    12,874.54/19,306.95 = 5,482.48/x
  3. Step 3: Cross multiply
    12,874.54x = 19,306.95 × 5,482.48
  4. Step 4: Simplify right side
    12,874.54x = 105,849,967.24
  5. Step 5: Solve for x
    x = 105,849,967.24/12,874.54
  6. Step 6: Final answer
    x = 8,221.65

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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.