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Finding the Fourth Proportional to 13,011.16, 17,955.36 and 7,042.84

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Solution

The fourth proportional to 13,011.16, 17,955.36 and 7,042.84 is: 9,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.16 : 17,955.36 = 7,042.84 : x
  2. Step 2: Convert to fraction form
    13,011.16/17,955.36 = 7,042.84/x
  3. Step 3: Cross multiply
    13,011.16x = 17,955.36 × 7,042.84
  4. Step 4: Simplify right side
    13,011.16x = 126,456,727.62
  5. Step 5: Solve for x
    x = 126,456,727.62/13,011.16
  6. Step 6: Final answer
    x = 9,719.10

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