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Finding the Fourth Proportional to 14,694.19, 20,282.99 and 9,029.16

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Solution

The fourth proportional to 14,694.19, 20,282.99 and 9,029.16 is: 12,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.19 : 20,282.99 = 9,029.16 : x
  2. Step 2: Convert to fraction form
    14,694.19/20,282.99 = 9,029.16/x
  3. Step 3: Cross multiply
    14,694.19x = 20,282.99 × 9,029.16
  4. Step 4: Simplify right side
    14,694.19x = 183,138,316.84
  5. Step 5: Solve for x
    x = 183,138,316.84/14,694.19
  6. Step 6: Final answer
    x = 12,463.32

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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.