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Finding the Fourth Proportional to 21,142.68, 29,160 and 14,435.88

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Solution

The fourth proportional to 21,142.68, 29,160 and 14,435.88 is: 19,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.68 : 29,160 = 14,435.88 : x
  2. Step 2: Convert to fraction form
    21,142.68/29,160 = 14,435.88/x
  3. Step 3: Cross multiply
    21,142.68x = 29,160 × 14,435.88
  4. Step 4: Simplify right side
    21,142.68x = 420,950,260.80
  5. Step 5: Solve for x
    x = 420,950,260.80/21,142.68
  6. Step 6: Final answer
    x = 19,909.98

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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.