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Finding the Fourth Proportional to 19,814.64, 29,731.63 and 8,719.93

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Solution

The fourth proportional to 19,814.64, 29,731.63 and 8,719.93 is: 13,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.64 : 29,731.63 = 8,719.93 : x
  2. Step 2: Convert to fraction form
    19,814.64/29,731.63 = 8,719.93/x
  3. Step 3: Cross multiply
    19,814.64x = 29,731.63 × 8,719.93
  4. Step 4: Simplify right side
    19,814.64x = 259,257,732.39
  5. Step 5: Solve for x
    x = 259,257,732.39/19,814.64
  6. Step 6: Final answer
    x = 13,084.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.