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Finding the Fourth Proportional to 24,358.46, 36,539.51 and 6,827.63

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Solution

The fourth proportional to 24,358.46, 36,539.51 and 6,827.63 is: 10,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.46 : 36,539.51 = 6,827.63 : x
  2. Step 2: Convert to fraction form
    24,358.46/36,539.51 = 6,827.63/x
  3. Step 3: Cross multiply
    24,358.46x = 36,539.51 × 6,827.63
  4. Step 4: Simplify right side
    24,358.46x = 249,478,037.83
  5. Step 5: Solve for x
    x = 249,478,037.83/24,358.46
  6. Step 6: Final answer
    x = 10,241.95

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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.