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Finding the Fourth Proportional to 13,044.57, 19,549.16 and 6,009.11

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Solution

The fourth proportional to 13,044.57, 19,549.16 and 6,009.11 is: 9,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.57 : 19,549.16 = 6,009.11 : x
  2. Step 2: Convert to fraction form
    13,044.57/19,549.16 = 6,009.11/x
  3. Step 3: Cross multiply
    13,044.57x = 19,549.16 × 6,009.11
  4. Step 4: Simplify right side
    13,044.57x = 117,473,052.85
  5. Step 5: Solve for x
    x = 117,473,052.85/13,044.57
  6. Step 6: Final answer
    x = 9,005.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.