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Finding the Fourth Proportional to 18,283.86, 27,428.06 and 6,434.84

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Solution

The fourth proportional to 18,283.86, 27,428.06 and 6,434.84 is: 9,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.86 : 27,428.06 = 6,434.84 : x
  2. Step 2: Convert to fraction form
    18,283.86/27,428.06 = 6,434.84/x
  3. Step 3: Cross multiply
    18,283.86x = 27,428.06 × 6,434.84
  4. Step 4: Simplify right side
    18,283.86x = 176,495,177.61
  5. Step 5: Solve for x
    x = 176,495,177.61/18,283.86
  6. Step 6: Final answer
    x = 9,653.06

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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.