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Finding the Fourth Proportional to 19,537.50, 29,307.06 and 5,686.50

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Solution

The fourth proportional to 19,537.50, 29,307.06 and 5,686.50 is: 8,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.50 : 29,307.06 = 5,686.50 : x
  2. Step 2: Convert to fraction form
    19,537.50/29,307.06 = 5,686.50/x
  3. Step 3: Cross multiply
    19,537.50x = 29,307.06 × 5,686.50
  4. Step 4: Simplify right side
    19,537.50x = 166,654,596.69
  5. Step 5: Solve for x
    x = 166,654,596.69/19,537.50
  6. Step 6: Final answer
    x = 8,529.99

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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.