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Finding the Fourth Proportional to 15,232.62, 22,785.75 and 14,299.50

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Solution

The fourth proportional to 15,232.62, 22,785.75 and 14,299.50 is: 21,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.62 : 22,785.75 = 14,299.50 : x
  2. Step 2: Convert to fraction form
    15,232.62/22,785.75 = 14,299.50/x
  3. Step 3: Cross multiply
    15,232.62x = 22,785.75 × 14,299.50
  4. Step 4: Simplify right side
    15,232.62x = 325,824,832.13
  5. Step 5: Solve for x
    x = 325,824,832.13/15,232.62
  6. Step 6: Final answer
    x = 21,389.94

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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.