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Finding the Fourth Proportional to 22,967.63, 31,689.92 and 13,031.63

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Solution

The fourth proportional to 22,967.63, 31,689.92 and 13,031.63 is: 17,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.63 : 31,689.92 = 13,031.63 : x
  2. Step 2: Convert to fraction form
    22,967.63/31,689.92 = 13,031.63/x
  3. Step 3: Cross multiply
    22,967.63x = 31,689.92 × 13,031.63
  4. Step 4: Simplify right side
    22,967.63x = 412,971,247.01
  5. Step 5: Solve for x
    x = 412,971,247.01/22,967.63
  6. Step 6: Final answer
    x = 17,980.58

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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.