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Finding the Fourth Proportional to 15,176.61, 22,765.05 and 7,777.08

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Solution

The fourth proportional to 15,176.61, 22,765.05 and 7,777.08 is: 11,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.61 : 22,765.05 = 7,777.08 : x
  2. Step 2: Convert to fraction form
    15,176.61/22,765.05 = 7,777.08/x
  3. Step 3: Cross multiply
    15,176.61x = 22,765.05 × 7,777.08
  4. Step 4: Simplify right side
    15,176.61x = 177,045,615.05
  5. Step 5: Solve for x
    x = 177,045,615.05/15,176.61
  6. Step 6: Final answer
    x = 11,665.69

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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.