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Finding the Fourth Proportional to 29,694.81, 40,977.70 and 16,266.16

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Solution

The fourth proportional to 29,694.81, 40,977.70 and 16,266.16 is: 22,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.81 : 40,977.70 = 16,266.16 : x
  2. Step 2: Convert to fraction form
    29,694.81/40,977.70 = 16,266.16/x
  3. Step 3: Cross multiply
    29,694.81x = 40,977.70 × 16,266.16
  4. Step 4: Simplify right side
    29,694.81x = 666,549,824.63
  5. Step 5: Solve for x
    x = 666,549,824.63/29,694.81
  6. Step 6: Final answer
    x = 22,446.68

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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.