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Finding the Fourth Proportional to 16,580.73, 22,874.63 and 10,205.40

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Solution

The fourth proportional to 16,580.73, 22,874.63 and 10,205.40 is: 14,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.73 : 22,874.63 = 10,205.40 : x
  2. Step 2: Convert to fraction form
    16,580.73/22,874.63 = 10,205.40/x
  3. Step 3: Cross multiply
    16,580.73x = 22,874.63 × 10,205.40
  4. Step 4: Simplify right side
    16,580.73x = 233,444,774.52
  5. Step 5: Solve for x
    x = 233,444,774.52/16,580.73
  6. Step 6: Final answer
    x = 14,079.28

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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.