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Finding the Fourth Proportional to 16,504.84, 22,778.26 and 9,432.28

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Solution

The fourth proportional to 16,504.84, 22,778.26 and 9,432.28 is: 13,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.84 : 22,778.26 = 9,432.28 : x
  2. Step 2: Convert to fraction form
    16,504.84/22,778.26 = 9,432.28/x
  3. Step 3: Cross multiply
    16,504.84x = 22,778.26 × 9,432.28
  4. Step 4: Simplify right side
    16,504.84x = 214,850,926.23
  5. Step 5: Solve for x
    x = 214,850,926.23/16,504.84
  6. Step 6: Final answer
    x = 13,017.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.