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Finding the Fourth Proportional to 25,133.72, 37,709.20 and 15,762.42

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Solution

The fourth proportional to 25,133.72, 37,709.20 and 15,762.42 is: 23,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,133.72 : 37,709.20 = 15,762.42 : x
  2. Step 2: Convert to fraction form
    25,133.72/37,709.20 = 15,762.42/x
  3. Step 3: Cross multiply
    25,133.72x = 37,709.20 × 15,762.42
  4. Step 4: Simplify right side
    25,133.72x = 594,388,248.26
  5. Step 5: Solve for x
    x = 594,388,248.26/25,133.72
  6. Step 6: Final answer
    x = 23,649.04

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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.