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Finding the Fourth Proportional to 19,932.14, 27,307.16 and 19,184.78

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Solution

The fourth proportional to 19,932.14, 27,307.16 and 19,184.78 is: 26,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932.14 : 27,307.16 = 19,184.78 : x
  2. Step 2: Convert to fraction form
    19,932.14/27,307.16 = 19,184.78/x
  3. Step 3: Cross multiply
    19,932.14x = 27,307.16 × 19,184.78
  4. Step 4: Simplify right side
    19,932.14x = 523,881,696.51
  5. Step 5: Solve for x
    x = 523,881,696.51/19,932.14
  6. Step 6: Final answer
    x = 26,283.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.