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Finding the Fourth Proportional to 27,088.83, 40,635.07 and 10,449

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Solution

The fourth proportional to 27,088.83, 40,635.07 and 10,449 is: 15,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,088.83 : 40,635.07 = 10,449 : x
  2. Step 2: Convert to fraction form
    27,088.83/40,635.07 = 10,449/x
  3. Step 3: Cross multiply
    27,088.83x = 40,635.07 × 10,449
  4. Step 4: Simplify right side
    27,088.83x = 424,595,820.31
  5. Step 5: Solve for x
    x = 424,595,820.31/27,088.83
  6. Step 6: Final answer
    x = 15,674.20

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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.