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Finding the Fourth Proportional to 19,632, 29,408.58 and 9,741.36

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Solution

The fourth proportional to 19,632, 29,408.58 and 9,741.36 is: 14,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632 : 29,408.58 = 9,741.36 : x
  2. Step 2: Convert to fraction form
    19,632/29,408.58 = 9,741.36/x
  3. Step 3: Cross multiply
    19,632x = 29,408.58 × 9,741.36
  4. Step 4: Simplify right side
    19,632x = 286,479,564.87
  5. Step 5: Solve for x
    x = 286,479,564.87/19,632
  6. Step 6: Final answer
    x = 14,592.48

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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.