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Finding the Fourth Proportional to 12,782.40, 19,148.07 and 10,154.34

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Solution

The fourth proportional to 12,782.40, 19,148.07 and 10,154.34 is: 15,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.40 : 19,148.07 = 10,154.34 : x
  2. Step 2: Convert to fraction form
    12,782.40/19,148.07 = 10,154.34/x
  3. Step 3: Cross multiply
    12,782.40x = 19,148.07 × 10,154.34
  4. Step 4: Simplify right side
    12,782.40x = 194,436,013.12
  5. Step 5: Solve for x
    x = 194,436,013.12/12,782.40
  6. Step 6: Final answer
    x = 15,211.23

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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.