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Finding the Fourth Proportional to 14,798.50, 22,200.99 and 5,564.50

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Solution

The fourth proportional to 14,798.50, 22,200.99 and 5,564.50 is: 8,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.50 : 22,200.99 = 5,564.50 : x
  2. Step 2: Convert to fraction form
    14,798.50/22,200.99 = 5,564.50/x
  3. Step 3: Cross multiply
    14,798.50x = 22,200.99 × 5,564.50
  4. Step 4: Simplify right side
    14,798.50x = 123,537,408.86
  5. Step 5: Solve for x
    x = 123,537,408.86/14,798.50
  6. Step 6: Final answer
    x = 8,347.97

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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.