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Finding the Fourth Proportional to 19,633.50, 29,459.70 and 9,773.64

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Solution

The fourth proportional to 19,633.50, 29,459.70 and 9,773.64 is: 14,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.50 : 29,459.70 = 9,773.64 : x
  2. Step 2: Convert to fraction form
    19,633.50/29,459.70 = 9,773.64/x
  3. Step 3: Cross multiply
    19,633.50x = 29,459.70 × 9,773.64
  4. Step 4: Simplify right side
    19,633.50x = 287,928,502.31
  5. Step 5: Solve for x
    x = 287,928,502.31/19,633.50
  6. Step 6: Final answer
    x = 14,665.16

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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.