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Finding the Fourth Proportional to 16,005.00, 22,084.25 and 8,931.40

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Solution

The fourth proportional to 16,005.00, 22,084.25 and 8,931.40 is: 12,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.00 : 22,084.25 = 8,931.40 : x
  2. Step 2: Convert to fraction form
    16,005.00/22,084.25 = 8,931.40/x
  3. Step 3: Cross multiply
    16,005.00x = 22,084.25 × 8,931.40
  4. Step 4: Simplify right side
    16,005.00x = 197,243,292.78
  5. Step 5: Solve for x
    x = 197,243,292.78/16,005.00
  6. Step 6: Final answer
    x = 12,323.86

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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.