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Finding the Fourth Proportional to 19,516.68, 29,238.30 and 9,644.40

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Solution

The fourth proportional to 19,516.68, 29,238.30 and 9,644.40 is: 14,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.68 : 29,238.30 = 9,644.40 : x
  2. Step 2: Convert to fraction form
    19,516.68/29,238.30 = 9,644.40/x
  3. Step 3: Cross multiply
    19,516.68x = 29,238.30 × 9,644.40
  4. Step 4: Simplify right side
    19,516.68x = 281,985,860.52
  5. Step 5: Solve for x
    x = 281,985,860.52/19,516.68
  6. Step 6: Final answer
    x = 14,448.45

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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.