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Finding the Fourth Proportional to 23,031.12, 31,788 and 14,646

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Solution

The fourth proportional to 23,031.12, 31,788 and 14,646 is: 20,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.12 : 31,788 = 14,646 : x
  2. Step 2: Convert to fraction form
    23,031.12/31,788 = 14,646/x
  3. Step 3: Cross multiply
    23,031.12x = 31,788 × 14,646
  4. Step 4: Simplify right side
    23,031.12x = 465,567,048
  5. Step 5: Solve for x
    x = 465,567,048/23,031.12
  6. Step 6: Final answer
    x = 20,214.69

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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.