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Finding the Fourth Proportional to 12,345.69, 17,037.25 and 6,968.40

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Solution

The fourth proportional to 12,345.69, 17,037.25 and 6,968.40 is: 9,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.69 : 17,037.25 = 6,968.40 : x
  2. Step 2: Convert to fraction form
    12,345.69/17,037.25 = 6,968.40/x
  3. Step 3: Cross multiply
    12,345.69x = 17,037.25 × 6,968.40
  4. Step 4: Simplify right side
    12,345.69x = 118,722,445.14
  5. Step 5: Solve for x
    x = 118,722,445.14/12,345.69
  6. Step 6: Final answer
    x = 9,616.51

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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.