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Finding the Fourth Proportional to 19,772.40, 29,649.95 and 5,918.16

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Solution

The fourth proportional to 19,772.40, 29,649.95 and 5,918.16 is: 8,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.40 : 29,649.95 = 5,918.16 : x
  2. Step 2: Convert to fraction form
    19,772.40/29,649.95 = 5,918.16/x
  3. Step 3: Cross multiply
    19,772.40x = 29,649.95 × 5,918.16
  4. Step 4: Simplify right side
    19,772.40x = 175,473,118.50
  5. Step 5: Solve for x
    x = 175,473,118.50/19,772.40
  6. Step 6: Final answer
    x = 8,874.65

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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.