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Finding the Fourth Proportional to 16,762.98, 23,133.05 and 9,209.47

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Solution

The fourth proportional to 16,762.98, 23,133.05 and 9,209.47 is: 12,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.98 : 23,133.05 = 9,209.47 : x
  2. Step 2: Convert to fraction form
    16,762.98/23,133.05 = 9,209.47/x
  3. Step 3: Cross multiply
    16,762.98x = 23,133.05 × 9,209.47
  4. Step 4: Simplify right side
    16,762.98x = 213,043,129.98
  5. Step 5: Solve for x
    x = 213,043,129.98/16,762.98
  6. Step 6: Final answer
    x = 12,709.14

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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.