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Finding the Fourth Proportional to 16,064.40, 22,513.20 and 16,064.40

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Solution

The fourth proportional to 16,064.40, 22,513.20 and 16,064.40 is: 22,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.40 : 22,513.20 = 16,064.40 : x
  2. Step 2: Convert to fraction form
    16,064.40/22,513.20 = 16,064.40/x
  3. Step 3: Cross multiply
    16,064.40x = 22,513.20 × 16,064.40
  4. Step 4: Simplify right side
    16,064.40x = 361,661,050.08
  5. Step 5: Solve for x
    x = 361,661,050.08/16,064.40
  6. Step 6: Final answer
    x = 22,513.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.