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Finding the Fourth Proportional to 24,946.33, 37,438.53 and 9,166.32

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Solution

The fourth proportional to 24,946.33, 37,438.53 and 9,166.32 is: 13,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,946.33 : 37,438.53 = 9,166.32 : x
  2. Step 2: Convert to fraction form
    24,946.33/37,438.53 = 9,166.32/x
  3. Step 3: Cross multiply
    24,946.33x = 37,438.53 × 9,166.32
  4. Step 4: Simplify right side
    24,946.33x = 343,173,546.31
  5. Step 5: Solve for x
    x = 343,173,546.31/24,946.33
  6. Step 6: Final answer
    x = 13,756.47

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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.