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Finding the Fourth Proportional to 10,842.15, 16,171.61 and 10,514.01

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Solution

The fourth proportional to 10,842.15, 16,171.61 and 10,514.01 is: 15,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.15 : 16,171.61 = 10,514.01 : x
  2. Step 2: Convert to fraction form
    10,842.15/16,171.61 = 10,514.01/x
  3. Step 3: Cross multiply
    10,842.15x = 16,171.61 × 10,514.01
  4. Step 4: Simplify right side
    10,842.15x = 170,028,362.11
  5. Step 5: Solve for x
    x = 170,028,362.11/10,842.15
  6. Step 6: Final answer
    x = 15,682.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.