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Finding the Fourth Proportional to 16,407.56, 22,642.44 and 8,955.56

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Solution

The fourth proportional to 16,407.56, 22,642.44 and 8,955.56 is: 12,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.56 : 22,642.44 = 8,955.56 : x
  2. Step 2: Convert to fraction form
    16,407.56/22,642.44 = 8,955.56/x
  3. Step 3: Cross multiply
    16,407.56x = 22,642.44 × 8,955.56
  4. Step 4: Simplify right side
    16,407.56x = 202,775,752.99
  5. Step 5: Solve for x
    x = 202,775,752.99/16,407.56
  6. Step 6: Final answer
    x = 12,358.68

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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.