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Finding the Fourth Proportional to 19,509.50, 29,265.06 and 5,658.50

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Solution

The fourth proportional to 19,509.50, 29,265.06 and 5,658.50 is: 8,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.50 : 29,265.06 = 5,658.50 : x
  2. Step 2: Convert to fraction form
    19,509.50/29,265.06 = 5,658.50/x
  3. Step 3: Cross multiply
    19,509.50x = 29,265.06 × 5,658.50
  4. Step 4: Simplify right side
    19,509.50x = 165,596,342.01
  5. Step 5: Solve for x
    x = 165,596,342.01/19,509.50
  6. Step 6: Final answer
    x = 8,487.98

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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.