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Finding the Fourth Proportional to 19,550, 29,348.50 and 16,468.76

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Solution

The fourth proportional to 19,550, 29,348.50 and 16,468.76 is: 24,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,550 : 29,348.50 = 16,468.76 : x
  2. Step 2: Convert to fraction form
    19,550/29,348.50 = 16,468.76/x
  3. Step 3: Cross multiply
    19,550x = 29,348.50 × 16,468.76
  4. Step 4: Simplify right side
    19,550x = 483,333,402.86
  5. Step 5: Solve for x
    x = 483,333,402.86/19,550
  6. Step 6: Final answer
    x = 24,722.94

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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.