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Finding the Fourth Proportional to 19,931.14, 29,899.94 and 5,892.58

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Solution

The fourth proportional to 19,931.14, 29,899.94 and 5,892.58 is: 8,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931.14 : 29,899.94 = 5,892.58 : x
  2. Step 2: Convert to fraction form
    19,931.14/29,899.94 = 5,892.58/x
  3. Step 3: Cross multiply
    19,931.14x = 29,899.94 × 5,892.58
  4. Step 4: Simplify right side
    19,931.14x = 176,187,684.23
  5. Step 5: Solve for x
    x = 176,187,684.23/19,931.14
  6. Step 6: Final answer
    x = 8,839.82

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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.