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Finding the Fourth Proportional to 14,667, 22,000.86 and 5,307.90

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Solution

The fourth proportional to 14,667, 22,000.86 and 5,307.90 is: 7,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667 : 22,000.86 = 5,307.90 : x
  2. Step 2: Convert to fraction form
    14,667/22,000.86 = 5,307.90/x
  3. Step 3: Cross multiply
    14,667x = 22,000.86 × 5,307.90
  4. Step 4: Simplify right side
    14,667x = 116,778,364.79
  5. Step 5: Solve for x
    x = 116,778,364.79/14,667
  6. Step 6: Final answer
    x = 7,961.98

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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.