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Finding the Fourth Proportional to 10,009.76, 15,014.22 and 2,513.30

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Solution

The fourth proportional to 10,009.76, 15,014.22 and 2,513.30 is: 3,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.76 : 15,014.22 = 2,513.30 : x
  2. Step 2: Convert to fraction form
    10,009.76/15,014.22 = 2,513.30/x
  3. Step 3: Cross multiply
    10,009.76x = 15,014.22 × 2,513.30
  4. Step 4: Simplify right side
    10,009.76x = 37,735,239.13
  5. Step 5: Solve for x
    x = 37,735,239.13/10,009.76
  6. Step 6: Final answer
    x = 3,769.84

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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.