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Finding the Fourth Proportional to 12,574.12, 18,860.86 and 3,808.68

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Solution

The fourth proportional to 12,574.12, 18,860.86 and 3,808.68 is: 5,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.12 : 18,860.86 = 3,808.68 : x
  2. Step 2: Convert to fraction form
    12,574.12/18,860.86 = 3,808.68/x
  3. Step 3: Cross multiply
    12,574.12x = 18,860.86 × 3,808.68
  4. Step 4: Simplify right side
    12,574.12x = 71,834,980.26
  5. Step 5: Solve for x
    x = 71,834,980.26/12,574.12
  6. Step 6: Final answer
    x = 5,712.92

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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.