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Finding the Fourth Proportional to 27,038.91, 40,564.29 and 10,406.78

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Solution

The fourth proportional to 27,038.91, 40,564.29 and 10,406.78 is: 15,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.91 : 40,564.29 = 10,406.78 : x
  2. Step 2: Convert to fraction form
    27,038.91/40,564.29 = 10,406.78/x
  3. Step 3: Cross multiply
    27,038.91x = 40,564.29 × 10,406.78
  4. Step 4: Simplify right side
    27,038.91x = 422,143,630.21
  5. Step 5: Solve for x
    x = 422,143,630.21/27,038.91
  6. Step 6: Final answer
    x = 15,612.45

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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.