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Finding the Fourth Proportional to 12,401.58, 18,602.28 and 5,827.71

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Solution

The fourth proportional to 12,401.58, 18,602.28 and 5,827.71 is: 8,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.58 : 18,602.28 = 5,827.71 : x
  2. Step 2: Convert to fraction form
    12,401.58/18,602.28 = 5,827.71/x
  3. Step 3: Cross multiply
    12,401.58x = 18,602.28 × 5,827.71
  4. Step 4: Simplify right side
    12,401.58x = 108,408,693.18
  5. Step 5: Solve for x
    x = 108,408,693.18/12,401.58
  6. Step 6: Final answer
    x = 8,741.52

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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.