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Finding the Fourth Proportional to 30,660.66, 46,003.95 and 13,138.74

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Solution

The fourth proportional to 30,660.66, 46,003.95 and 13,138.74 is: 19,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660.66 : 46,003.95 = 13,138.74 : x
  2. Step 2: Convert to fraction form
    30,660.66/46,003.95 = 13,138.74/x
  3. Step 3: Cross multiply
    30,660.66x = 46,003.95 × 13,138.74
  4. Step 4: Simplify right side
    30,660.66x = 604,433,938.02
  5. Step 5: Solve for x
    x = 604,433,938.02/30,660.66
  6. Step 6: Final answer
    x = 19,713.66

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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.