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Finding the Fourth Proportional to 12,966.29, 17,894.33 and 9,773.95

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Solution

The fourth proportional to 12,966.29, 17,894.33 and 9,773.95 is: 13,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.29 : 17,894.33 = 9,773.95 : x
  2. Step 2: Convert to fraction form
    12,966.29/17,894.33 = 9,773.95/x
  3. Step 3: Cross multiply
    12,966.29x = 17,894.33 × 9,773.95
  4. Step 4: Simplify right side
    12,966.29x = 174,898,352.54
  5. Step 5: Solve for x
    x = 174,898,352.54/12,966.29
  6. Step 6: Final answer
    x = 13,488.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.