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Finding the Fourth Proportional to 10,693.05, 16,009.20 and 10,111.20

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Solution

The fourth proportional to 10,693.05, 16,009.20 and 10,111.20 is: 15,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.05 : 16,009.20 = 10,111.20 : x
  2. Step 2: Convert to fraction form
    10,693.05/16,009.20 = 10,111.20/x
  3. Step 3: Cross multiply
    10,693.05x = 16,009.20 × 10,111.20
  4. Step 4: Simplify right side
    10,693.05x = 161,872,223.04
  5. Step 5: Solve for x
    x = 161,872,223.04/10,693.05
  6. Step 6: Final answer
    x = 15,138.08

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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.