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Finding the Fourth Proportional to 16,475.84, 22,734.95 and 9,305.13

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Solution

The fourth proportional to 16,475.84, 22,734.95 and 9,305.13 is: 12,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.84 : 22,734.95 = 9,305.13 : x
  2. Step 2: Convert to fraction form
    16,475.84/22,734.95 = 9,305.13/x
  3. Step 3: Cross multiply
    16,475.84x = 22,734.95 × 9,305.13
  4. Step 4: Simplify right side
    16,475.84x = 211,551,618.77
  5. Step 5: Solve for x
    x = 211,551,618.77/16,475.84
  6. Step 6: Final answer
    x = 12,840.12

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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.