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Finding the Fourth Proportional to 12,541.63, 17,307.45 and 6,952.63

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Solution

The fourth proportional to 12,541.63, 17,307.45 and 6,952.63 is: 9,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.63 : 17,307.45 = 6,952.63 : x
  2. Step 2: Convert to fraction form
    12,541.63/17,307.45 = 6,952.63/x
  3. Step 3: Cross multiply
    12,541.63x = 17,307.45 × 6,952.63
  4. Step 4: Simplify right side
    12,541.63x = 120,332,296.09
  5. Step 5: Solve for x
    x = 120,332,296.09/12,541.63
  6. Step 6: Final answer
    x = 9,594.63

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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.