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Finding the Fourth Proportional to 15,588.88, 23,384.54 and 5,200.62

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Solution

The fourth proportional to 15,588.88, 23,384.54 and 5,200.62 is: 7,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.88 : 23,384.54 = 5,200.62 : x
  2. Step 2: Convert to fraction form
    15,588.88/23,384.54 = 5,200.62/x
  3. Step 3: Cross multiply
    15,588.88x = 23,384.54 × 5,200.62
  4. Step 4: Simplify right side
    15,588.88x = 121,614,106.41
  5. Step 5: Solve for x
    x = 121,614,106.41/15,588.88
  6. Step 6: Final answer
    x = 7,801.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.