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Finding the Fourth Proportional to 27,051.84, 40,581 and 9,518.04

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Solution

The fourth proportional to 27,051.84, 40,581 and 9,518.04 is: 14,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051.84 : 40,581 = 9,518.04 : x
  2. Step 2: Convert to fraction form
    27,051.84/40,581 = 9,518.04/x
  3. Step 3: Cross multiply
    27,051.84x = 40,581 × 9,518.04
  4. Step 4: Simplify right side
    27,051.84x = 386,251,581.24
  5. Step 5: Solve for x
    x = 386,251,581.24/27,051.84
  6. Step 6: Final answer
    x = 14,278.20

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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.