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Finding the Fourth Proportional to 24,941.57, 37,413 and 7,171.51

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Solution

The fourth proportional to 24,941.57, 37,413 and 7,171.51 is: 10,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.57 : 37,413 = 7,171.51 : x
  2. Step 2: Convert to fraction form
    24,941.57/37,413 = 7,171.51/x
  3. Step 3: Cross multiply
    24,941.57x = 37,413 × 7,171.51
  4. Step 4: Simplify right side
    24,941.57x = 268,307,703.63
  5. Step 5: Solve for x
    x = 268,307,703.63/24,941.57
  6. Step 6: Final answer
    x = 10,757.45

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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.