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Finding the Fourth Proportional to 12,446.40, 17,175.63 and 7,141.08

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Solution

The fourth proportional to 12,446.40, 17,175.63 and 7,141.08 is: 9,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.40 : 17,175.63 = 7,141.08 : x
  2. Step 2: Convert to fraction form
    12,446.40/17,175.63 = 7,141.08/x
  3. Step 3: Cross multiply
    12,446.40x = 17,175.63 × 7,141.08
  4. Step 4: Simplify right side
    12,446.40x = 122,652,547.88
  5. Step 5: Solve for x
    x = 122,652,547.88/12,446.40
  6. Step 6: Final answer
    x = 9,854.46

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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.