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Finding the Fourth Proportional to 25,086, 37,624.38 and 9,288.60

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Solution

The fourth proportional to 25,086, 37,624.38 and 9,288.60 is: 13,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,086 : 37,624.38 = 9,288.60 : x
  2. Step 2: Convert to fraction form
    25,086/37,624.38 = 9,288.60/x
  3. Step 3: Cross multiply
    25,086x = 37,624.38 × 9,288.60
  4. Step 4: Simplify right side
    25,086x = 349,477,816.07
  5. Step 5: Solve for x
    x = 349,477,816.07/25,086
  6. Step 6: Final answer
    x = 13,931.19

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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.