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Finding the Fourth Proportional to 19,633, 29,410.08 and 9,742.36

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Solution

The fourth proportional to 19,633, 29,410.08 and 9,742.36 is: 14,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633 : 29,410.08 = 9,742.36 : x
  2. Step 2: Convert to fraction form
    19,633/29,410.08 = 9,742.36/x
  3. Step 3: Cross multiply
    19,633x = 29,410.08 × 9,742.36
  4. Step 4: Simplify right side
    19,633x = 286,523,586.99
  5. Step 5: Solve for x
    x = 286,523,586.99/19,633
  6. Step 6: Final answer
    x = 14,593.98

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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.