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Finding the Fourth Proportional to 16,235.10, 22,404.74 and 9,160.16

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Solution

The fourth proportional to 16,235.10, 22,404.74 and 9,160.16 is: 12,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.10 : 22,404.74 = 9,160.16 : x
  2. Step 2: Convert to fraction form
    16,235.10/22,404.74 = 9,160.16/x
  3. Step 3: Cross multiply
    16,235.10x = 22,404.74 × 9,160.16
  4. Step 4: Simplify right side
    16,235.10x = 205,230,845.33
  5. Step 5: Solve for x
    x = 205,230,845.33/16,235.10
  6. Step 6: Final answer
    x = 12,641.18

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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.