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Finding the Fourth Proportional to 13,030.81, 17,982.32 and 7,062.43

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Solution

The fourth proportional to 13,030.81, 17,982.32 and 7,062.43 is: 9,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.81 : 17,982.32 = 7,062.43 : x
  2. Step 2: Convert to fraction form
    13,030.81/17,982.32 = 7,062.43/x
  3. Step 3: Cross multiply
    13,030.81x = 17,982.32 × 7,062.43
  4. Step 4: Simplify right side
    13,030.81x = 126,998,840.93
  5. Step 5: Solve for x
    x = 126,998,840.93/13,030.81
  6. Step 6: Final answer
    x = 9,746.04

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Why These Related Problems?

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