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Finding the Fourth Proportional to 12,497.12, 17,246.25 and 6,832.11

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Solution

The fourth proportional to 12,497.12, 17,246.25 and 6,832.11 is: 9,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.12 : 17,246.25 = 6,832.11 : x
  2. Step 2: Convert to fraction form
    12,497.12/17,246.25 = 6,832.11/x
  3. Step 3: Cross multiply
    12,497.12x = 17,246.25 × 6,832.11
  4. Step 4: Simplify right side
    12,497.12x = 117,828,341.76
  5. Step 5: Solve for x
    x = 117,828,341.76/12,497.12
  6. Step 6: Final answer
    x = 9,428.44

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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.