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Finding the Fourth Proportional to 19,926.76, 29,885.34 and 5,883

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Solution

The fourth proportional to 19,926.76, 29,885.34 and 5,883 is: 8,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926.76 : 29,885.34 = 5,883 : x
  2. Step 2: Convert to fraction form
    19,926.76/29,885.34 = 5,883/x
  3. Step 3: Cross multiply
    19,926.76x = 29,885.34 × 5,883
  4. Step 4: Simplify right side
    19,926.76x = 175,815,455.22
  5. Step 5: Solve for x
    x = 175,815,455.22/19,926.76
  6. Step 6: Final answer
    x = 8,823.08

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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.