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Finding the Fourth Proportional to 12,442.10, 17,169.90 and 6,853.10

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Solution

The fourth proportional to 12,442.10, 17,169.90 and 6,853.10 is: 9,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.10 : 17,169.90 = 6,853.10 : x
  2. Step 2: Convert to fraction form
    12,442.10/17,169.90 = 6,853.10/x
  3. Step 3: Cross multiply
    12,442.10x = 17,169.90 × 6,853.10
  4. Step 4: Simplify right side
    12,442.10x = 117,666,955.84
  5. Step 5: Solve for x
    x = 117,666,955.84/12,442.10
  6. Step 6: Final answer
    x = 9,457.17

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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.