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Finding the Fourth Proportional to 19,877.84, 29,814.84 and 6,026.96

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Solution

The fourth proportional to 19,877.84, 29,814.84 and 6,026.96 is: 9,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.84 : 29,814.84 = 6,026.96 : x
  2. Step 2: Convert to fraction form
    19,877.84/29,814.84 = 6,026.96/x
  3. Step 3: Cross multiply
    19,877.84x = 29,814.84 × 6,026.96
  4. Step 4: Simplify right side
    19,877.84x = 179,692,848.09
  5. Step 5: Solve for x
    x = 179,692,848.09/19,877.84
  6. Step 6: Final answer
    x = 9,039.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.