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Finding the Fourth Proportional to 14,104.72, 21,159 and 4,871.44

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Solution

The fourth proportional to 14,104.72, 21,159 and 4,871.44 is: 7,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.72 : 21,159 = 4,871.44 : x
  2. Step 2: Convert to fraction form
    14,104.72/21,159 = 4,871.44/x
  3. Step 3: Cross multiply
    14,104.72x = 21,159 × 4,871.44
  4. Step 4: Simplify right side
    14,104.72x = 103,074,798.96
  5. Step 5: Solve for x
    x = 103,074,798.96/14,104.72
  6. Step 6: Final answer
    x = 7,307.82

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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.