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Finding the Fourth Proportional to 19,391.69, 29,094.47 and 9,537.89

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Solution

The fourth proportional to 19,391.69, 29,094.47 and 9,537.89 is: 14,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391.69 : 29,094.47 = 9,537.89 : x
  2. Step 2: Convert to fraction form
    19,391.69/29,094.47 = 9,537.89/x
  3. Step 3: Cross multiply
    19,391.69x = 29,094.47 × 9,537.89
  4. Step 4: Simplify right side
    19,391.69x = 277,499,854.47
  5. Step 5: Solve for x
    x = 277,499,854.47/19,391.69
  6. Step 6: Final answer
    x = 14,310.25

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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.