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Finding the Fourth Proportional to 23,545, 32,465.38 and 15,035.88

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Solution

The fourth proportional to 23,545, 32,465.38 and 15,035.88 is: 20,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,545 : 32,465.38 = 15,035.88 : x
  2. Step 2: Convert to fraction form
    23,545/32,465.38 = 15,035.88/x
  3. Step 3: Cross multiply
    23,545x = 32,465.38 × 15,035.88
  4. Step 4: Simplify right side
    23,545x = 488,145,557.83
  5. Step 5: Solve for x
    x = 488,145,557.83/23,545
  6. Step 6: Final answer
    x = 20,732.45

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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.