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Finding the Fourth Proportional to 16,559.16, 22,851.63 and 9,107.16

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Solution

The fourth proportional to 16,559.16, 22,851.63 and 9,107.16 is: 12,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.16 : 22,851.63 = 9,107.16 : x
  2. Step 2: Convert to fraction form
    16,559.16/22,851.63 = 9,107.16/x
  3. Step 3: Cross multiply
    16,559.16x = 22,851.63 × 9,107.16
  4. Step 4: Simplify right side
    16,559.16x = 208,113,450.67
  5. Step 5: Solve for x
    x = 208,113,450.67/16,559.16
  6. Step 6: Final answer
    x = 12,567.87

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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.