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Finding the Fourth Proportional to 12,810.76, 19,189.17 and 10,856.09

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Solution

The fourth proportional to 12,810.76, 19,189.17 and 10,856.09 is: 16,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.76 : 19,189.17 = 10,856.09 : x
  2. Step 2: Convert to fraction form
    12,810.76/19,189.17 = 10,856.09/x
  3. Step 3: Cross multiply
    12,810.76x = 19,189.17 × 10,856.09
  4. Step 4: Simplify right side
    12,810.76x = 208,319,404.52
  5. Step 5: Solve for x
    x = 208,319,404.52/12,810.76
  6. Step 6: Final answer
    x = 16,261.29

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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.