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Finding the Fourth Proportional to 12,890.40, 17,788.32 and 9,741.12

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Solution

The fourth proportional to 12,890.40, 17,788.32 and 9,741.12 is: 13,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.40 : 17,788.32 = 9,741.12 : x
  2. Step 2: Convert to fraction form
    12,890.40/17,788.32 = 9,741.12/x
  3. Step 3: Cross multiply
    12,890.40x = 17,788.32 × 9,741.12
  4. Step 4: Simplify right side
    12,890.40x = 173,278,159.72
  5. Step 5: Solve for x
    x = 173,278,159.72/12,890.40
  6. Step 6: Final answer
    x = 13,442.42

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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.