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Finding the Fourth Proportional to 19,785.69, 29,681.78 and 9,393.93

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Solution

The fourth proportional to 19,785.69, 29,681.78 and 9,393.93 is: 14,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.69 : 29,681.78 = 9,393.93 : x
  2. Step 2: Convert to fraction form
    19,785.69/29,681.78 = 9,393.93/x
  3. Step 3: Cross multiply
    19,785.69x = 29,681.78 × 9,393.93
  4. Step 4: Simplify right side
    19,785.69x = 278,828,516.63
  5. Step 5: Solve for x
    x = 278,828,516.63/19,785.69
  6. Step 6: Final answer
    x = 14,092.43

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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.