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Finding the Fourth Proportional to 24,140.84, 36,200.32 and 7,495.94

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Solution

The fourth proportional to 24,140.84, 36,200.32 and 7,495.94 is: 11,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.84 : 36,200.32 = 7,495.94 : x
  2. Step 2: Convert to fraction form
    24,140.84/36,200.32 = 7,495.94/x
  3. Step 3: Cross multiply
    24,140.84x = 36,200.32 × 7,495.94
  4. Step 4: Simplify right side
    24,140.84x = 271,355,498.46
  5. Step 5: Solve for x
    x = 271,355,498.46/24,140.84
  6. Step 6: Final answer
    x = 11,240.52

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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.