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Finding the Fourth Proportional to 19,732.64, 27,230.16 and 10,780.08

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Solution

The fourth proportional to 19,732.64, 27,230.16 and 10,780.08 is: 14,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.64 : 27,230.16 = 10,780.08 : x
  2. Step 2: Convert to fraction form
    19,732.64/27,230.16 = 10,780.08/x
  3. Step 3: Cross multiply
    19,732.64x = 27,230.16 × 10,780.08
  4. Step 4: Simplify right side
    19,732.64x = 293,543,303.21
  5. Step 5: Solve for x
    x = 293,543,303.21/19,732.64
  6. Step 6: Final answer
    x = 14,876.03

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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.