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Finding the Fourth Proportional to 13,030.65, 17,982.31 and 7,062.32

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Solution

The fourth proportional to 13,030.65, 17,982.31 and 7,062.32 is: 9,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.65 : 17,982.31 = 7,062.32 : x
  2. Step 2: Convert to fraction form
    13,030.65/17,982.31 = 7,062.32/x
  3. Step 3: Cross multiply
    13,030.65x = 17,982.31 × 7,062.32
  4. Step 4: Simplify right side
    13,030.65x = 126,996,738.62
  5. Step 5: Solve for x
    x = 126,996,738.62/13,030.65
  6. Step 6: Final answer
    x = 9,746.00

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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.