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Finding the Fourth Proportional to 19,666.02, 29,488.08 and 6,511.20

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Solution

The fourth proportional to 19,666.02, 29,488.08 and 6,511.20 is: 9,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.02 : 29,488.08 = 6,511.20 : x
  2. Step 2: Convert to fraction form
    19,666.02/29,488.08 = 6,511.20/x
  3. Step 3: Cross multiply
    19,666.02x = 29,488.08 × 6,511.20
  4. Step 4: Simplify right side
    19,666.02x = 192,002,786.50
  5. Step 5: Solve for x
    x = 192,002,786.50/19,666.02
  6. Step 6: Final answer
    x = 9,763.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.