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Finding the Fourth Proportional to 21,508.88, 29,682.28 and 12,077.46

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Solution

The fourth proportional to 21,508.88, 29,682.28 and 12,077.46 is: 16,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.88 : 29,682.28 = 12,077.46 : x
  2. Step 2: Convert to fraction form
    21,508.88/29,682.28 = 12,077.46/x
  3. Step 3: Cross multiply
    21,508.88x = 29,682.28 × 12,077.46
  4. Step 4: Simplify right side
    21,508.88x = 358,486,549.41
  5. Step 5: Solve for x
    x = 358,486,549.41/21,508.88
  6. Step 6: Final answer
    x = 16,666.91

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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.