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Finding the Fourth Proportional to 19,690.66, 29,529.61 and 6,539.50

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Solution

The fourth proportional to 19,690.66, 29,529.61 and 6,539.50 is: 9,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.66 : 29,529.61 = 6,539.50 : x
  2. Step 2: Convert to fraction form
    19,690.66/29,529.61 = 6,539.50/x
  3. Step 3: Cross multiply
    19,690.66x = 29,529.61 × 6,539.50
  4. Step 4: Simplify right side
    19,690.66x = 193,108,884.60
  5. Step 5: Solve for x
    x = 193,108,884.60/19,690.66
  6. Step 6: Final answer
    x = 9,807.13

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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.