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Finding the Fourth Proportional to 12,569.48, 17,343.78 and 6,980.36

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Solution

The fourth proportional to 12,569.48, 17,343.78 and 6,980.36 is: 9,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.48 : 17,343.78 = 6,980.36 : x
  2. Step 2: Convert to fraction form
    12,569.48/17,343.78 = 6,980.36/x
  3. Step 3: Cross multiply
    12,569.48x = 17,343.78 × 6,980.36
  4. Step 4: Simplify right side
    12,569.48x = 121,065,828.16
  5. Step 5: Solve for x
    x = 121,065,828.16/12,569.48
  6. Step 6: Final answer
    x = 9,631.73

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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.