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Finding the Fourth Proportional to 12,809.20, 17,678.42 and 7,506.13

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Solution

The fourth proportional to 12,809.20, 17,678.42 and 7,506.13 is: 10,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.20 : 17,678.42 = 7,506.13 : x
  2. Step 2: Convert to fraction form
    12,809.20/17,678.42 = 7,506.13/x
  3. Step 3: Cross multiply
    12,809.20x = 17,678.42 × 7,506.13
  4. Step 4: Simplify right side
    12,809.20x = 132,696,518.71
  5. Step 5: Solve for x
    x = 132,696,518.71/12,809.20
  6. Step 6: Final answer
    x = 10,359.47

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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.