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Finding the Fourth Proportional to 19,697.18, 29,538.95 and 5,653.40

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Solution

The fourth proportional to 19,697.18, 29,538.95 and 5,653.40 is: 8,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.18 : 29,538.95 = 5,653.40 : x
  2. Step 2: Convert to fraction form
    19,697.18/29,538.95 = 5,653.40/x
  3. Step 3: Cross multiply
    19,697.18x = 29,538.95 × 5,653.40
  4. Step 4: Simplify right side
    19,697.18x = 166,995,323.97
  5. Step 5: Solve for x
    x = 166,995,323.97/19,697.18
  6. Step 6: Final answer
    x = 8,478.14

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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.