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Finding the Fourth Proportional to 27,877.84, 38,465.07 and 16,541.48

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Solution

The fourth proportional to 27,877.84, 38,465.07 and 16,541.48 is: 22,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.84 : 38,465.07 = 16,541.48 : x
  2. Step 2: Convert to fraction form
    27,877.84/38,465.07 = 16,541.48/x
  3. Step 3: Cross multiply
    27,877.84x = 38,465.07 × 16,541.48
  4. Step 4: Simplify right side
    27,877.84x = 636,269,186.10
  5. Step 5: Solve for x
    x = 636,269,186.10/27,877.84
  6. Step 6: Final answer
    x = 22,823.48

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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.