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Finding the Fourth Proportional to 16,900.64, 23,322.74 and 9,347.29

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Solution

The fourth proportional to 16,900.64, 23,322.74 and 9,347.29 is: 12,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.64 : 23,322.74 = 9,347.29 : x
  2. Step 2: Convert to fraction form
    16,900.64/23,322.74 = 9,347.29/x
  3. Step 3: Cross multiply
    16,900.64x = 23,322.74 × 9,347.29
  4. Step 4: Simplify right side
    16,900.64x = 218,004,297.76
  5. Step 5: Solve for x
    x = 218,004,297.76/16,900.64
  6. Step 6: Final answer
    x = 12,899.18

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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.