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Finding the Fourth Proportional to 16,085.16, 22,197.50 and 9,011.63

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Solution

The fourth proportional to 16,085.16, 22,197.50 and 9,011.63 is: 12,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.16 : 22,197.50 = 9,011.63 : x
  2. Step 2: Convert to fraction form
    16,085.16/22,197.50 = 9,011.63/x
  3. Step 3: Cross multiply
    16,085.16x = 22,197.50 × 9,011.63
  4. Step 4: Simplify right side
    16,085.16x = 200,035,656.93
  5. Step 5: Solve for x
    x = 200,035,656.93/16,085.16
  6. Step 6: Final answer
    x = 12,436.04

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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.