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Finding the Fourth Proportional to 12,322.34, 17,006.59 and 7,017.65

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Solution

The fourth proportional to 12,322.34, 17,006.59 and 7,017.65 is: 9,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.34 : 17,006.59 = 7,017.65 : x
  2. Step 2: Convert to fraction form
    12,322.34/17,006.59 = 7,017.65/x
  3. Step 3: Cross multiply
    12,322.34x = 17,006.59 × 7,017.65
  4. Step 4: Simplify right side
    12,322.34x = 119,346,296.31
  5. Step 5: Solve for x
    x = 119,346,296.31/12,322.34
  6. Step 6: Final answer
    x = 9,685.36

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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.