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Finding the Fourth Proportional to 16,084.16, 22,196.12 and 9,010.63

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Solution

The fourth proportional to 16,084.16, 22,196.12 and 9,010.63 is: 12,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.16 : 22,196.12 = 9,010.63 : x
  2. Step 2: Convert to fraction form
    16,084.16/22,196.12 = 9,010.63/x
  3. Step 3: Cross multiply
    16,084.16x = 22,196.12 × 9,010.63
  4. Step 4: Simplify right side
    16,084.16x = 200,001,024.76
  5. Step 5: Solve for x
    x = 200,001,024.76/16,084.16
  6. Step 6: Final answer
    x = 12,434.66

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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.