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Finding the Fourth Proportional to 27,449, 37,879.80 and 14,873.84

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Solution

The fourth proportional to 27,449, 37,879.80 and 14,873.84 is: 20,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,449 : 37,879.80 = 14,873.84 : x
  2. Step 2: Convert to fraction form
    27,449/37,879.80 = 14,873.84/x
  3. Step 3: Cross multiply
    27,449x = 37,879.80 × 14,873.84
  4. Step 4: Simplify right side
    27,449x = 563,418,084.43
  5. Step 5: Solve for x
    x = 563,418,084.43/27,449
  6. Step 6: Final answer
    x = 20,526.00

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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.