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Finding the Fourth Proportional to 12,574.84, 18,862.50 and 3,809.72

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Solution

The fourth proportional to 12,574.84, 18,862.50 and 3,809.72 is: 5,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.84 : 18,862.50 = 3,809.72 : x
  2. Step 2: Convert to fraction form
    12,574.84/18,862.50 = 3,809.72/x
  3. Step 3: Cross multiply
    12,574.84x = 18,862.50 × 3,809.72
  4. Step 4: Simplify right side
    12,574.84x = 71,860,843.50
  5. Step 5: Solve for x
    x = 71,860,843.50/12,574.84
  6. Step 6: Final answer
    x = 5,714.65

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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.