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Finding the Fourth Proportional to 19,877.52, 29,796.72 and 9,496.56

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Solution

The fourth proportional to 19,877.52, 29,796.72 and 9,496.56 is: 14,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.52 : 29,796.72 = 9,496.56 : x
  2. Step 2: Convert to fraction form
    19,877.52/29,796.72 = 9,496.56/x
  3. Step 3: Cross multiply
    19,877.52x = 29,796.72 × 9,496.56
  4. Step 4: Simplify right side
    19,877.52x = 282,966,339.28
  5. Step 5: Solve for x
    x = 282,966,339.28/19,877.52
  6. Step 6: Final answer
    x = 14,235.50

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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.