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Finding the Fourth Proportional to 19,197.54, 28,784.43 and 7,497

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Solution

The fourth proportional to 19,197.54, 28,784.43 and 7,497 is: 11,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197.54 : 28,784.43 = 7,497 : x
  2. Step 2: Convert to fraction form
    19,197.54/28,784.43 = 7,497/x
  3. Step 3: Cross multiply
    19,197.54x = 28,784.43 × 7,497
  4. Step 4: Simplify right side
    19,197.54x = 215,796,871.71
  5. Step 5: Solve for x
    x = 215,796,871.71/19,197.54
  6. Step 6: Final answer
    x = 11,240.86

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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.