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Finding the Fourth Proportional to 13,428.06, 18,533.07 and 12,837.66

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Solution

The fourth proportional to 13,428.06, 18,533.07 and 12,837.66 is: 17,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.06 : 18,533.07 = 12,837.66 : x
  2. Step 2: Convert to fraction form
    13,428.06/18,533.07 = 12,837.66/x
  3. Step 3: Cross multiply
    13,428.06x = 18,533.07 × 12,837.66
  4. Step 4: Simplify right side
    13,428.06x = 237,921,251.42
  5. Step 5: Solve for x
    x = 237,921,251.42/13,428.06
  6. Step 6: Final answer
    x = 17,718.21

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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.