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Finding the Fourth Proportional to 12,590.29, 17,353.85 and 9,227.77

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Solution

The fourth proportional to 12,590.29, 17,353.85 and 9,227.77 is: 12,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.29 : 17,353.85 = 9,227.77 : x
  2. Step 2: Convert to fraction form
    12,590.29/17,353.85 = 9,227.77/x
  3. Step 3: Cross multiply
    12,590.29x = 17,353.85 × 9,227.77
  4. Step 4: Simplify right side
    12,590.29x = 160,137,344.51
  5. Step 5: Solve for x
    x = 160,137,344.51/12,590.29
  6. Step 6: Final answer
    x = 12,719.12

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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.