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Finding the Fourth Proportional to 23,509.76, 32,438.40 and 13,568

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Solution

The fourth proportional to 23,509.76, 32,438.40 and 13,568 is: 18,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.76 : 32,438.40 = 13,568 : x
  2. Step 2: Convert to fraction form
    23,509.76/32,438.40 = 13,568/x
  3. Step 3: Cross multiply
    23,509.76x = 32,438.40 × 13,568
  4. Step 4: Simplify right side
    23,509.76x = 440,124,211.20
  5. Step 5: Solve for x
    x = 440,124,211.20/23,509.76
  6. Step 6: Final answer
    x = 18,720.91

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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.