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Finding the Fourth Proportional to 24,948, 37,428.17 and 7,417.76

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Solution

The fourth proportional to 24,948, 37,428.17 and 7,417.76 is: 11,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948 : 37,428.17 = 7,417.76 : x
  2. Step 2: Convert to fraction form
    24,948/37,428.17 = 7,417.76/x
  3. Step 3: Cross multiply
    24,948x = 37,428.17 × 7,417.76
  4. Step 4: Simplify right side
    24,948x = 277,632,958.07
  5. Step 5: Solve for x
    x = 277,632,958.07/24,948
  6. Step 6: Final answer
    x = 11,128.47

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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.