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Finding the Fourth Proportional to 27,089.78, 37,383.12 and 15,762.74

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Solution

The fourth proportional to 27,089.78, 37,383.12 and 15,762.74 is: 21,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,089.78 : 37,383.12 = 15,762.74 : x
  2. Step 2: Convert to fraction form
    27,089.78/37,383.12 = 15,762.74/x
  3. Step 3: Cross multiply
    27,089.78x = 37,383.12 × 15,762.74
  4. Step 4: Simplify right side
    27,089.78x = 589,260,214.03
  5. Step 5: Solve for x
    x = 589,260,214.03/27,089.78
  6. Step 6: Final answer
    x = 21,752.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.