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Finding the Fourth Proportional to 14,189.52, 21,281.94 and 5,302.50

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Solution

The fourth proportional to 14,189.52, 21,281.94 and 5,302.50 is: 7,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.52 : 21,281.94 = 5,302.50 : x
  2. Step 2: Convert to fraction form
    14,189.52/21,281.94 = 5,302.50/x
  3. Step 3: Cross multiply
    14,189.52x = 21,281.94 × 5,302.50
  4. Step 4: Simplify right side
    14,189.52x = 112,847,486.85
  5. Step 5: Solve for x
    x = 112,847,486.85/14,189.52
  6. Step 6: Final answer
    x = 7,952.88

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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.