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Finding the Fourth Proportional to 19,533.66, 29,287.47 and 6,381.42

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Solution

The fourth proportional to 19,533.66, 29,287.47 and 6,381.42 is: 9,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.66 : 29,287.47 = 6,381.42 : x
  2. Step 2: Convert to fraction form
    19,533.66/29,287.47 = 6,381.42/x
  3. Step 3: Cross multiply
    19,533.66x = 29,287.47 × 6,381.42
  4. Step 4: Simplify right side
    19,533.66x = 186,895,646.81
  5. Step 5: Solve for x
    x = 186,895,646.81/19,533.66
  6. Step 6: Final answer
    x = 9,567.88

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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.