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Finding the Fourth Proportional to 25,762.59, 38,647.53 and 8,228.52

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Solution

The fourth proportional to 25,762.59, 38,647.53 and 8,228.52 is: 12,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.59 : 38,647.53 = 8,228.52 : x
  2. Step 2: Convert to fraction form
    25,762.59/38,647.53 = 8,228.52/x
  3. Step 3: Cross multiply
    25,762.59x = 38,647.53 × 8,228.52
  4. Step 4: Simplify right side
    25,762.59x = 318,011,973.56
  5. Step 5: Solve for x
    x = 318,011,973.56/25,762.59
  6. Step 6: Final answer
    x = 12,343.94

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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.