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Finding the Fourth Proportional to 15,588.54, 23,382.84 and 5,200.32

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Solution

The fourth proportional to 15,588.54, 23,382.84 and 5,200.32 is: 7,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.54 : 23,382.84 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    15,588.54/23,382.84 = 5,200.32/x
  3. Step 3: Cross multiply
    15,588.54x = 23,382.84 × 5,200.32
  4. Step 4: Simplify right side
    15,588.54x = 121,598,250.51
  5. Step 5: Solve for x
    x = 121,598,250.51/15,588.54
  6. Step 6: Final answer
    x = 7,800.49

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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.