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Finding the Fourth Proportional to 25,176.68, 37,762.42 and 8,536.26

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Solution

The fourth proportional to 25,176.68, 37,762.42 and 8,536.26 is: 12,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.68 : 37,762.42 = 8,536.26 : x
  2. Step 2: Convert to fraction form
    25,176.68/37,762.42 = 8,536.26/x
  3. Step 3: Cross multiply
    25,176.68x = 37,762.42 × 8,536.26
  4. Step 4: Simplify right side
    25,176.68x = 322,349,835.35
  5. Step 5: Solve for x
    x = 322,349,835.35/25,176.68
  6. Step 6: Final answer
    x = 12,803.51

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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.