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Finding the Fourth Proportional to 23,420.99, 32,321.22 and 12,810.39

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Solution

The fourth proportional to 23,420.99, 32,321.22 and 12,810.39 is: 17,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.99 : 32,321.22 = 12,810.39 : x
  2. Step 2: Convert to fraction form
    23,420.99/32,321.22 = 12,810.39/x
  3. Step 3: Cross multiply
    23,420.99x = 32,321.22 × 12,810.39
  4. Step 4: Simplify right side
    23,420.99x = 414,047,369.42
  5. Step 5: Solve for x
    x = 414,047,369.42/23,420.99
  6. Step 6: Final answer
    x = 17,678.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.