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Finding the Fourth Proportional to 19,281.36, 28,921.92 and 9,924

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Solution

The fourth proportional to 19,281.36, 28,921.92 and 9,924 is: 14,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,281.36 : 28,921.92 = 9,924 : x
  2. Step 2: Convert to fraction form
    19,281.36/28,921.92 = 9,924/x
  3. Step 3: Cross multiply
    19,281.36x = 28,921.92 × 9,924
  4. Step 4: Simplify right side
    19,281.36x = 287,021,134.08
  5. Step 5: Solve for x
    x = 287,021,134.08/19,281.36
  6. Step 6: Final answer
    x = 14,885.94

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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.