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Finding the Fourth Proportional to 18,921.32, 26,109.86 and 10,537

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Solution

The fourth proportional to 18,921.32, 26,109.86 and 10,537 is: 14,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,921.32 : 26,109.86 = 10,537 : x
  2. Step 2: Convert to fraction form
    18,921.32/26,109.86 = 10,537/x
  3. Step 3: Cross multiply
    18,921.32x = 26,109.86 × 10,537
  4. Step 4: Simplify right side
    18,921.32x = 275,119,594.82
  5. Step 5: Solve for x
    x = 275,119,594.82/18,921.32
  6. Step 6: Final answer
    x = 14,540.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.