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Finding the Fourth Proportional to 12,531.96, 17,298.54 and 8,341.56

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Solution

The fourth proportional to 12,531.96, 17,298.54 and 8,341.56 is: 11,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.96 : 17,298.54 = 8,341.56 : x
  2. Step 2: Convert to fraction form
    12,531.96/17,298.54 = 8,341.56/x
  3. Step 3: Cross multiply
    12,531.96x = 17,298.54 × 8,341.56
  4. Step 4: Simplify right side
    12,531.96x = 144,296,809.32
  5. Step 5: Solve for x
    x = 144,296,809.32/12,531.96
  6. Step 6: Final answer
    x = 11,514.30

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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.