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Finding the Fourth Proportional to 24,274.90, 36,411.44 and 10,043

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Solution

The fourth proportional to 24,274.90, 36,411.44 and 10,043 is: 15,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.90 : 36,411.44 = 10,043 : x
  2. Step 2: Convert to fraction form
    24,274.90/36,411.44 = 10,043/x
  3. Step 3: Cross multiply
    24,274.90x = 36,411.44 × 10,043
  4. Step 4: Simplify right side
    24,274.90x = 365,680,091.92
  5. Step 5: Solve for x
    x = 365,680,091.92/24,274.90
  6. Step 6: Final answer
    x = 15,064.12

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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.