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Finding the Fourth Proportional to 10,693.11, 15,948.54 and 10,023.32

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Solution

The fourth proportional to 10,693.11, 15,948.54 and 10,023.32 is: 14,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.11 : 15,948.54 = 10,023.32 : x
  2. Step 2: Convert to fraction form
    10,693.11/15,948.54 = 10,023.32/x
  3. Step 3: Cross multiply
    10,693.11x = 15,948.54 × 10,023.32
  4. Step 4: Simplify right side
    10,693.11x = 159,857,240.21
  5. Step 5: Solve for x
    x = 159,857,240.21/10,693.11
  6. Step 6: Final answer
    x = 14,949.56

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Why These Related Problems?

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