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Finding the Fourth Proportional to 12,865.82, 19,264.86 and 10,353.60

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Solution

The fourth proportional to 12,865.82, 19,264.86 and 10,353.60 is: 15,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.82 : 19,264.86 = 10,353.60 : x
  2. Step 2: Convert to fraction form
    12,865.82/19,264.86 = 10,353.60/x
  3. Step 3: Cross multiply
    12,865.82x = 19,264.86 × 10,353.60
  4. Step 4: Simplify right side
    12,865.82x = 199,460,654.50
  5. Step 5: Solve for x
    x = 199,460,654.50/12,865.82
  6. Step 6: Final answer
    x = 15,503.15

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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.