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Finding the Fourth Proportional to 21,462.84, 29,618.68 and 12,031.40

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Solution

The fourth proportional to 21,462.84, 29,618.68 and 12,031.40 is: 16,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.84 : 29,618.68 = 12,031.40 : x
  2. Step 2: Convert to fraction form
    21,462.84/29,618.68 = 12,031.40/x
  3. Step 3: Cross multiply
    21,462.84x = 29,618.68 × 12,031.40
  4. Step 4: Simplify right side
    21,462.84x = 356,354,186.55
  5. Step 5: Solve for x
    x = 356,354,186.55/21,462.84
  6. Step 6: Final answer
    x = 16,603.31

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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.