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Finding the Fourth Proportional to 14,686.56, 22,032 and 4,296.96

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Solution

The fourth proportional to 14,686.56, 22,032 and 4,296.96 is: 6,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.56 : 22,032 = 4,296.96 : x
  2. Step 2: Convert to fraction form
    14,686.56/22,032 = 4,296.96/x
  3. Step 3: Cross multiply
    14,686.56x = 22,032 × 4,296.96
  4. Step 4: Simplify right side
    14,686.56x = 94,670,622.72
  5. Step 5: Solve for x
    x = 94,670,622.72/14,686.56
  6. Step 6: Final answer
    x = 6,446.07

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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.