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Finding the Fourth Proportional to 17,098.79, 25,642.10 and 6,569.60

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Solution

The fourth proportional to 17,098.79, 25,642.10 and 6,569.60 is: 9,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.79 : 25,642.10 = 6,569.60 : x
  2. Step 2: Convert to fraction form
    17,098.79/25,642.10 = 6,569.60/x
  3. Step 3: Cross multiply
    17,098.79x = 25,642.10 × 6,569.60
  4. Step 4: Simplify right side
    17,098.79x = 168,458,228.37
  5. Step 5: Solve for x
    x = 168,458,228.37/17,098.79
  6. Step 6: Final answer
    x = 9,852.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.