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Finding the Fourth Proportional to 18,572.06, 27,857.80 and 7,478.46

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Solution

The fourth proportional to 18,572.06, 27,857.80 and 7,478.46 is: 11,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,572.06 : 27,857.80 = 7,478.46 : x
  2. Step 2: Convert to fraction form
    18,572.06/27,857.80 = 7,478.46/x
  3. Step 3: Cross multiply
    18,572.06x = 27,857.80 × 7,478.46
  4. Step 4: Simplify right side
    18,572.06x = 208,333,442.99
  5. Step 5: Solve for x
    x = 208,333,442.99/18,572.06
  6. Step 6: Final answer
    x = 11,217.57

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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.