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Finding the Fourth Proportional to 12,782.90, 19,148.82 and 10,154.84

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Solution

The fourth proportional to 12,782.90, 19,148.82 and 10,154.84 is: 15,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.90 : 19,148.82 = 10,154.84 : x
  2. Step 2: Convert to fraction form
    12,782.90/19,148.82 = 10,154.84/x
  3. Step 3: Cross multiply
    12,782.90x = 19,148.82 × 10,154.84
  4. Step 4: Simplify right side
    12,782.90x = 194,453,203.29
  5. Step 5: Solve for x
    x = 194,453,203.29/12,782.90
  6. Step 6: Final answer
    x = 15,211.98

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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.