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Finding the Fourth Proportional to 16,509.96, 22,782.22 and 9,794.45

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Solution

The fourth proportional to 16,509.96, 22,782.22 and 9,794.45 is: 13,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.96 : 22,782.22 = 9,794.45 : x
  2. Step 2: Convert to fraction form
    16,509.96/22,782.22 = 9,794.45/x
  3. Step 3: Cross multiply
    16,509.96x = 22,782.22 × 9,794.45
  4. Step 4: Simplify right side
    16,509.96x = 223,139,347.15
  5. Step 5: Solve for x
    x = 223,139,347.15/16,509.96
  6. Step 6: Final answer
    x = 13,515.44

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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.