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Finding the Fourth Proportional to 25,297.34, 37,955.86 and 10,502.50

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Solution

The fourth proportional to 25,297.34, 37,955.86 and 10,502.50 is: 15,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297.34 : 37,955.86 = 10,502.50 : x
  2. Step 2: Convert to fraction form
    25,297.34/37,955.86 = 10,502.50/x
  3. Step 3: Cross multiply
    25,297.34x = 37,955.86 × 10,502.50
  4. Step 4: Simplify right side
    25,297.34x = 398,631,419.65
  5. Step 5: Solve for x
    x = 398,631,419.65/25,297.34
  6. Step 6: Final answer
    x = 15,757.84

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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.