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Finding the Fourth Proportional to 24,749.16, 37,125.56 and 7,219.45

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Solution

The fourth proportional to 24,749.16, 37,125.56 and 7,219.45 is: 10,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.16 : 37,125.56 = 7,219.45 : x
  2. Step 2: Convert to fraction form
    24,749.16/37,125.56 = 7,219.45/x
  3. Step 3: Cross multiply
    24,749.16x = 37,125.56 × 7,219.45
  4. Step 4: Simplify right side
    24,749.16x = 268,026,124.14
  5. Step 5: Solve for x
    x = 268,026,124.14/24,749.16
  6. Step 6: Final answer
    x = 10,829.71

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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.