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Finding the Fourth Proportional to 21,187.69, 31,781.73 and 5,392.74

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Solution

The fourth proportional to 21,187.69, 31,781.73 and 5,392.74 is: 8,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.69 : 31,781.73 = 5,392.74 : x
  2. Step 2: Convert to fraction form
    21,187.69/31,781.73 = 5,392.74/x
  3. Step 3: Cross multiply
    21,187.69x = 31,781.73 × 5,392.74
  4. Step 4: Simplify right side
    21,187.69x = 171,390,492.47
  5. Step 5: Solve for x
    x = 171,390,492.47/21,187.69
  6. Step 6: Final answer
    x = 8,089.15

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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.