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Finding the Fourth Proportional to 18,407.16, 27,618.03 and 10,509.66

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Solution

The fourth proportional to 18,407.16, 27,618.03 and 10,509.66 is: 15,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.16 : 27,618.03 = 10,509.66 : x
  2. Step 2: Convert to fraction form
    18,407.16/27,618.03 = 10,509.66/x
  3. Step 3: Cross multiply
    18,407.16x = 27,618.03 × 10,509.66
  4. Step 4: Simplify right side
    18,407.16x = 290,256,105.17
  5. Step 5: Solve for x
    x = 290,256,105.17/18,407.16
  6. Step 6: Final answer
    x = 15,768.65

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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.