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Finding the Fourth Proportional to 42,243.15, 63,378.81 and 14,166

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Solution

The fourth proportional to 42,243.15, 63,378.81 and 14,166 is: 21,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,243.15 : 63,378.81 = 14,166 : x
  2. Step 2: Convert to fraction form
    42,243.15/63,378.81 = 14,166/x
  3. Step 3: Cross multiply
    42,243.15x = 63,378.81 × 14,166
  4. Step 4: Simplify right side
    42,243.15x = 897,824,222.46
  5. Step 5: Solve for x
    x = 897,824,222.46/42,243.15
  6. Step 6: Final answer
    x = 21,253.72

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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.