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Finding the Fourth Proportional to 15,102, 22,580.91 and 13,778.60

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Solution

The fourth proportional to 15,102, 22,580.91 and 13,778.60 is: 20,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102 : 22,580.91 = 13,778.60 : x
  2. Step 2: Convert to fraction form
    15,102/22,580.91 = 13,778.60/x
  3. Step 3: Cross multiply
    15,102x = 22,580.91 × 13,778.60
  4. Step 4: Simplify right side
    15,102x = 311,133,213.62
  5. Step 5: Solve for x
    x = 311,133,213.62/15,102
  6. Step 6: Final answer
    x = 20,602.12

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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.