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Finding the Fourth Proportional to 12,653.26, 17,461.19 and 6,988.48

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Solution

The fourth proportional to 12,653.26, 17,461.19 and 6,988.48 is: 9,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.26 : 17,461.19 = 6,988.48 : x
  2. Step 2: Convert to fraction form
    12,653.26/17,461.19 = 6,988.48/x
  3. Step 3: Cross multiply
    12,653.26x = 17,461.19 × 6,988.48
  4. Step 4: Simplify right side
    12,653.26x = 122,027,177.09
  5. Step 5: Solve for x
    x = 122,027,177.09/12,653.26
  6. Step 6: Final answer
    x = 9,643.93

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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.