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Finding the Fourth Proportional to 16,083.16, 22,194.74 and 9,009.63

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Solution

The fourth proportional to 16,083.16, 22,194.74 and 9,009.63 is: 12,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.16 : 22,194.74 = 9,009.63 : x
  2. Step 2: Convert to fraction form
    16,083.16/22,194.74 = 9,009.63/x
  3. Step 3: Cross multiply
    16,083.16x = 22,194.74 × 9,009.63
  4. Step 4: Simplify right side
    16,083.16x = 199,966,417.87
  5. Step 5: Solve for x
    x = 199,966,417.87/16,083.16
  6. Step 6: Final answer
    x = 12,433.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.