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Finding the Fourth Proportional to 21,601.36, 32,369.64 and 15,024.16

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Solution

The fourth proportional to 21,601.36, 32,369.64 and 15,024.16 is: 22,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601.36 : 32,369.64 = 15,024.16 : x
  2. Step 2: Convert to fraction form
    21,601.36/32,369.64 = 15,024.16/x
  3. Step 3: Cross multiply
    21,601.36x = 32,369.64 × 15,024.16
  4. Step 4: Simplify right side
    21,601.36x = 486,326,650.50
  5. Step 5: Solve for x
    x = 486,326,650.50/21,601.36
  6. Step 6: Final answer
    x = 22,513.71

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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.