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Finding the Fourth Proportional to 19,484.08, 29,227.08 and 9,498

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Solution

The fourth proportional to 19,484.08, 29,227.08 and 9,498 is: 14,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,484.08 : 29,227.08 = 9,498 : x
  2. Step 2: Convert to fraction form
    19,484.08/29,227.08 = 9,498/x
  3. Step 3: Cross multiply
    19,484.08x = 29,227.08 × 9,498
  4. Step 4: Simplify right side
    19,484.08x = 277,598,805.84
  5. Step 5: Solve for x
    x = 277,598,805.84/19,484.08
  6. Step 6: Final answer
    x = 14,247.47

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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.