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Finding the Fourth Proportional to 12,782.21, 19,147.78 and 10,154.16

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Solution

The fourth proportional to 12,782.21, 19,147.78 and 10,154.16 is: 15,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.21 : 19,147.78 = 10,154.16 : x
  2. Step 2: Convert to fraction form
    12,782.21/19,147.78 = 10,154.16/x
  3. Step 3: Cross multiply
    12,782.21x = 19,147.78 × 10,154.16
  4. Step 4: Simplify right side
    12,782.21x = 194,429,634.46
  5. Step 5: Solve for x
    x = 194,429,634.46/12,782.21
  6. Step 6: Final answer
    x = 15,210.96

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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.