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Finding the Fourth Proportional to 19,951.39, 27,533 and 10,998.70

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Solution

The fourth proportional to 19,951.39, 27,533 and 10,998.70 is: 15,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.39 : 27,533 = 10,998.70 : x
  2. Step 2: Convert to fraction form
    19,951.39/27,533 = 10,998.70/x
  3. Step 3: Cross multiply
    19,951.39x = 27,533 × 10,998.70
  4. Step 4: Simplify right side
    19,951.39x = 302,827,207.10
  5. Step 5: Solve for x
    x = 302,827,207.10/19,951.39
  6. Step 6: Final answer
    x = 15,178.25

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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.