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Finding the Fourth Proportional to 15,189.54, 22,780.62 and 6,419.70

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Solution

The fourth proportional to 15,189.54, 22,780.62 and 6,419.70 is: 9,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.54 : 22,780.62 = 6,419.70 : x
  2. Step 2: Convert to fraction form
    15,189.54/22,780.62 = 6,419.70/x
  3. Step 3: Cross multiply
    15,189.54x = 22,780.62 × 6,419.70
  4. Step 4: Simplify right side
    15,189.54x = 146,244,746.21
  5. Step 5: Solve for x
    x = 146,244,746.21/15,189.54
  6. Step 6: Final answer
    x = 9,627.99

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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.