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Finding the Fourth Proportional to 23,201.63, 34,809.32 and 13,347.98

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Solution

The fourth proportional to 23,201.63, 34,809.32 and 13,347.98 is: 20,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.63 : 34,809.32 = 13,347.98 : x
  2. Step 2: Convert to fraction form
    23,201.63/34,809.32 = 13,347.98/x
  3. Step 3: Cross multiply
    23,201.63x = 34,809.32 × 13,347.98
  4. Step 4: Simplify right side
    23,201.63x = 464,633,966.50
  5. Step 5: Solve for x
    x = 464,633,966.50/23,201.63
  6. Step 6: Final answer
    x = 20,025.92

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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.