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Finding the Fourth Proportional to 19,859.95, 29,744.56 and 9,478.99

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Solution

The fourth proportional to 19,859.95, 29,744.56 and 9,478.99 is: 14,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.95 : 29,744.56 = 9,478.99 : x
  2. Step 2: Convert to fraction form
    19,859.95/29,744.56 = 9,478.99/x
  3. Step 3: Cross multiply
    19,859.95x = 29,744.56 × 9,478.99
  4. Step 4: Simplify right side
    19,859.95x = 281,948,386.79
  5. Step 5: Solve for x
    x = 281,948,386.79/19,859.95
  6. Step 6: Final answer
    x = 14,196.83

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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.