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Finding the Fourth Proportional to 13,026.86, 17,987.34 and 12,031.72

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Solution

The fourth proportional to 13,026.86, 17,987.34 and 12,031.72 is: 16,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.86 : 17,987.34 = 12,031.72 : x
  2. Step 2: Convert to fraction form
    13,026.86/17,987.34 = 12,031.72/x
  3. Step 3: Cross multiply
    13,026.86x = 17,987.34 × 12,031.72
  4. Step 4: Simplify right side
    13,026.86x = 216,418,638.42
  5. Step 5: Solve for x
    x = 216,418,638.42/13,026.86
  6. Step 6: Final answer
    x = 16,613.26

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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.