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Finding the Fourth Proportional to 14,700.72, 22,050 and 4,311.60

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Solution

The fourth proportional to 14,700.72, 22,050 and 4,311.60 is: 6,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.72 : 22,050 = 4,311.60 : x
  2. Step 2: Convert to fraction form
    14,700.72/22,050 = 4,311.60/x
  3. Step 3: Cross multiply
    14,700.72x = 22,050 × 4,311.60
  4. Step 4: Simplify right side
    14,700.72x = 95,070,780.00
  5. Step 5: Solve for x
    x = 95,070,780.00/14,700.72
  6. Step 6: Final answer
    x = 6,467.08

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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.