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Finding the Fourth Proportional to 19,397.61, 29,107.35 and 9,537.89

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Solution

The fourth proportional to 19,397.61, 29,107.35 and 9,537.89 is: 14,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,397.61 : 29,107.35 = 9,537.89 : x
  2. Step 2: Convert to fraction form
    19,397.61/29,107.35 = 9,537.89/x
  3. Step 3: Cross multiply
    19,397.61x = 29,107.35 × 9,537.89
  4. Step 4: Simplify right side
    19,397.61x = 277,622,556.95
  5. Step 5: Solve for x
    x = 277,622,556.95/19,397.61
  6. Step 6: Final answer
    x = 14,312.20

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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.