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Finding the Fourth Proportional to 19,186.40, 28,801.20 and 14,823.20

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Solution

The fourth proportional to 19,186.40, 28,801.20 and 14,823.20 is: 22,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186.40 : 28,801.20 = 14,823.20 : x
  2. Step 2: Convert to fraction form
    19,186.40/28,801.20 = 14,823.20/x
  3. Step 3: Cross multiply
    19,186.40x = 28,801.20 × 14,823.20
  4. Step 4: Simplify right side
    19,186.40x = 426,925,947.84
  5. Step 5: Solve for x
    x = 426,925,947.84/19,186.40
  6. Step 6: Final answer
    x = 22,251.49

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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.