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Finding the Fourth Proportional to 16,240.40, 22,412.40 and 9,166.40

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Solution

The fourth proportional to 16,240.40, 22,412.40 and 9,166.40 is: 12,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.40 : 22,412.40 = 9,166.40 : x
  2. Step 2: Convert to fraction form
    16,240.40/22,412.40 = 9,166.40/x
  3. Step 3: Cross multiply
    16,240.40x = 22,412.40 × 9,166.40
  4. Step 4: Simplify right side
    16,240.40x = 205,441,023.36
  5. Step 5: Solve for x
    x = 205,441,023.36/16,240.40
  6. Step 6: Final answer
    x = 12,650.00

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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.