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Finding the Fourth Proportional to 12,617.34, 17,403.27 and 7,312.25

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Solution

The fourth proportional to 12,617.34, 17,403.27 and 7,312.25 is: 10,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.34 : 17,403.27 = 7,312.25 : x
  2. Step 2: Convert to fraction form
    12,617.34/17,403.27 = 7,312.25/x
  3. Step 3: Cross multiply
    12,617.34x = 17,403.27 × 7,312.25
  4. Step 4: Simplify right side
    12,617.34x = 127,257,017.55
  5. Step 5: Solve for x
    x = 127,257,017.55/12,617.34
  6. Step 6: Final answer
    x = 10,085.88

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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.