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Finding the Fourth Proportional to 19,616.58, 27,097.74 and 14,340.78

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Solution

The fourth proportional to 19,616.58, 27,097.74 and 14,340.78 is: 19,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.58 : 27,097.74 = 14,340.78 : x
  2. Step 2: Convert to fraction form
    19,616.58/27,097.74 = 14,340.78/x
  3. Step 3: Cross multiply
    19,616.58x = 27,097.74 × 14,340.78
  4. Step 4: Simplify right side
    19,616.58x = 388,602,727.84
  5. Step 5: Solve for x
    x = 388,602,727.84/19,616.58
  6. Step 6: Final answer
    x = 19,809.91

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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.