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Finding the Fourth Proportional to 19,752.21, 29,624.19 and 7,269

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Solution

The fourth proportional to 19,752.21, 29,624.19 and 7,269 is: 10,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.21 : 29,624.19 = 7,269 : x
  2. Step 2: Convert to fraction form
    19,752.21/29,624.19 = 7,269/x
  3. Step 3: Cross multiply
    19,752.21x = 29,624.19 × 7,269
  4. Step 4: Simplify right side
    19,752.21x = 215,338,237.11
  5. Step 5: Solve for x
    x = 215,338,237.11/19,752.21
  6. Step 6: Final answer
    x = 10,901.98

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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.