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Finding the Fourth Proportional to 24,746.67, 37,123.34 and 7,216.34

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Solution

The fourth proportional to 24,746.67, 37,123.34 and 7,216.34 is: 10,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.67 : 37,123.34 = 7,216.34 : x
  2. Step 2: Convert to fraction form
    24,746.67/37,123.34 = 7,216.34/x
  3. Step 3: Cross multiply
    24,746.67x = 37,123.34 × 7,216.34
  4. Step 4: Simplify right side
    24,746.67x = 267,894,643.38
  5. Step 5: Solve for x
    x = 267,894,643.38/24,746.67
  6. Step 6: Final answer
    x = 10,825.48

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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.