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Finding the Fourth Proportional to 16,005.12, 22,086.96 and 8,931.53

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Solution

The fourth proportional to 16,005.12, 22,086.96 and 8,931.53 is: 12,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.12 : 22,086.96 = 8,931.53 : x
  2. Step 2: Convert to fraction form
    16,005.12/22,086.96 = 8,931.53/x
  3. Step 3: Cross multiply
    16,005.12x = 22,086.96 × 8,931.53
  4. Step 4: Simplify right side
    16,005.12x = 197,270,235.41
  5. Step 5: Solve for x
    x = 197,270,235.41/16,005.12
  6. Step 6: Final answer
    x = 12,325.45

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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.