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Finding the Fourth Proportional to 12,569.31, 17,329.14 and 10,446.66

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Solution

The fourth proportional to 12,569.31, 17,329.14 and 10,446.66 is: 14,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.31 : 17,329.14 = 10,446.66 : x
  2. Step 2: Convert to fraction form
    12,569.31/17,329.14 = 10,446.66/x
  3. Step 3: Cross multiply
    12,569.31x = 17,329.14 × 10,446.66
  4. Step 4: Simplify right side
    12,569.31x = 181,031,633.67
  5. Step 5: Solve for x
    x = 181,031,633.67/12,569.31
  6. Step 6: Final answer
    x = 14,402.67

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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.