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Finding the Fourth Proportional to 13,148.73, 18,145.23 and 8,433

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Solution

The fourth proportional to 13,148.73, 18,145.23 and 8,433 is: 11,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.73 : 18,145.23 = 8,433 : x
  2. Step 2: Convert to fraction form
    13,148.73/18,145.23 = 8,433/x
  3. Step 3: Cross multiply
    13,148.73x = 18,145.23 × 8,433
  4. Step 4: Simplify right side
    13,148.73x = 153,018,724.59
  5. Step 5: Solve for x
    x = 153,018,724.59/13,148.73
  6. Step 6: Final answer
    x = 11,637.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.