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Finding the Fourth Proportional to 12,430.70, 18,646.03 and 3,671.76

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Solution

The fourth proportional to 12,430.70, 18,646.03 and 3,671.76 is: 5,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.70 : 18,646.03 = 3,671.76 : x
  2. Step 2: Convert to fraction form
    12,430.70/18,646.03 = 3,671.76/x
  3. Step 3: Cross multiply
    12,430.70x = 18,646.03 × 3,671.76
  4. Step 4: Simplify right side
    12,430.70x = 68,463,800.97
  5. Step 5: Solve for x
    x = 68,463,800.97/12,430.70
  6. Step 6: Final answer
    x = 5,507.64

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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.