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Finding the Fourth Proportional to 19,830.16, 27,367.07 and 11,332.09

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Solution

The fourth proportional to 19,830.16, 27,367.07 and 11,332.09 is: 15,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.16 : 27,367.07 = 11,332.09 : x
  2. Step 2: Convert to fraction form
    19,830.16/27,367.07 = 11,332.09/x
  3. Step 3: Cross multiply
    19,830.16x = 27,367.07 × 11,332.09
  4. Step 4: Simplify right side
    19,830.16x = 310,126,100.28
  5. Step 5: Solve for x
    x = 310,126,100.28/19,830.16
  6. Step 6: Final answer
    x = 15,639.11

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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.