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Finding the Fourth Proportional to 15,187.76, 22,783.25 and 6,423.56

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Solution

The fourth proportional to 15,187.76, 22,783.25 and 6,423.56 is: 9,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,187.76 : 22,783.25 = 6,423.56 : x
  2. Step 2: Convert to fraction form
    15,187.76/22,783.25 = 6,423.56/x
  3. Step 3: Cross multiply
    15,187.76x = 22,783.25 × 6,423.56
  4. Step 4: Simplify right side
    15,187.76x = 146,349,573.37
  5. Step 5: Solve for x
    x = 146,349,573.37/15,187.76
  6. Step 6: Final answer
    x = 9,636.02

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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.