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Finding the Fourth Proportional to 18,417.12, 27,602.57 and 7,874.75

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Solution

The fourth proportional to 18,417.12, 27,602.57 and 7,874.75 is: 11,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,417.12 : 27,602.57 = 7,874.75 : x
  2. Step 2: Convert to fraction form
    18,417.12/27,602.57 = 7,874.75/x
  3. Step 3: Cross multiply
    18,417.12x = 27,602.57 × 7,874.75
  4. Step 4: Simplify right side
    18,417.12x = 217,363,256.32
  5. Step 5: Solve for x
    x = 217,363,256.32/18,417.12
  6. Step 6: Final answer
    x = 11,802.24

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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.