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Finding the Fourth Proportional to 18,557.45, 27,829.26 and 7,460.40

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Solution

The fourth proportional to 18,557.45, 27,829.26 and 7,460.40 is: 11,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.45 : 27,829.26 = 7,460.40 : x
  2. Step 2: Convert to fraction form
    18,557.45/27,829.26 = 7,460.40/x
  3. Step 3: Cross multiply
    18,557.45x = 27,829.26 × 7,460.40
  4. Step 4: Simplify right side
    18,557.45x = 207,617,411.30
  5. Step 5: Solve for x
    x = 207,617,411.30/18,557.45
  6. Step 6: Final answer
    x = 11,187.82

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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.