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Finding the Fourth Proportional to 24,823.60, 37,236 and 7,293.98

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Solution

The fourth proportional to 24,823.60, 37,236 and 7,293.98 is: 10,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.60 : 37,236 = 7,293.98 : x
  2. Step 2: Convert to fraction form
    24,823.60/37,236 = 7,293.98/x
  3. Step 3: Cross multiply
    24,823.60x = 37,236 × 7,293.98
  4. Step 4: Simplify right side
    24,823.60x = 271,598,639.28
  5. Step 5: Solve for x
    x = 271,598,639.28/24,823.60
  6. Step 6: Final answer
    x = 10,941.15

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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.