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Finding the Fourth Proportional to 12,254.34, 18,385.14 and 4,463.76

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Solution

The fourth proportional to 12,254.34, 18,385.14 and 4,463.76 is: 6,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.34 : 18,385.14 = 4,463.76 : x
  2. Step 2: Convert to fraction form
    12,254.34/18,385.14 = 4,463.76/x
  3. Step 3: Cross multiply
    12,254.34x = 18,385.14 × 4,463.76
  4. Step 4: Simplify right side
    12,254.34x = 82,066,852.53
  5. Step 5: Solve for x
    x = 82,066,852.53/12,254.34
  6. Step 6: Final answer
    x = 6,696.96

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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.