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Finding the Fourth Proportional to 15,054.86, 22,559.34 and 7,648.22

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Solution

The fourth proportional to 15,054.86, 22,559.34 and 7,648.22 is: 11,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,054.86 : 22,559.34 = 7,648.22 : x
  2. Step 2: Convert to fraction form
    15,054.86/22,559.34 = 7,648.22/x
  3. Step 3: Cross multiply
    15,054.86x = 22,559.34 × 7,648.22
  4. Step 4: Simplify right side
    15,054.86x = 172,538,795.37
  5. Step 5: Solve for x
    x = 172,538,795.37/15,054.86
  6. Step 6: Final answer
    x = 11,460.67

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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.