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Finding the Fourth Proportional to 27,785.84, 41,677.13 and 16,617.56

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Solution

The fourth proportional to 27,785.84, 41,677.13 and 16,617.56 is: 24,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.84 : 41,677.13 = 16,617.56 : x
  2. Step 2: Convert to fraction form
    27,785.84/41,677.13 = 16,617.56/x
  3. Step 3: Cross multiply
    27,785.84x = 41,677.13 × 16,617.56
  4. Step 4: Simplify right side
    27,785.84x = 692,572,041.56
  5. Step 5: Solve for x
    x = 692,572,041.56/27,785.84
  6. Step 6: Final answer
    x = 24,925.36

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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.