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Finding the Fourth Proportional to 19,817.64, 29,729.19 and 11,501.57

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Solution

The fourth proportional to 19,817.64, 29,729.19 and 11,501.57 is: 17,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.64 : 29,729.19 = 11,501.57 : x
  2. Step 2: Convert to fraction form
    19,817.64/29,729.19 = 11,501.57/x
  3. Step 3: Cross multiply
    19,817.64x = 29,729.19 × 11,501.57
  4. Step 4: Simplify right side
    19,817.64x = 341,932,345.15
  5. Step 5: Solve for x
    x = 341,932,345.15/19,817.64
  6. Step 6: Final answer
    x = 17,253.94

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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.