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Finding the Fourth Proportional to 12,506.27, 17,254.94 and 7,200.95

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Solution

The fourth proportional to 12,506.27, 17,254.94 and 7,200.95 is: 9,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.27 : 17,254.94 = 7,200.95 : x
  2. Step 2: Convert to fraction form
    12,506.27/17,254.94 = 7,200.95/x
  3. Step 3: Cross multiply
    12,506.27x = 17,254.94 × 7,200.95
  4. Step 4: Simplify right side
    12,506.27x = 124,251,837.91
  5. Step 5: Solve for x
    x = 124,251,837.91/12,506.27
  6. Step 6: Final answer
    x = 9,935.17

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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.