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Finding the Fourth Proportional to 20,044.89, 27,661.01 and 10,970.06

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Solution

The fourth proportional to 20,044.89, 27,661.01 and 10,970.06 is: 15,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,044.89 : 27,661.01 = 10,970.06 : x
  2. Step 2: Convert to fraction form
    20,044.89/27,661.01 = 10,970.06/x
  3. Step 3: Cross multiply
    20,044.89x = 27,661.01 × 10,970.06
  4. Step 4: Simplify right side
    20,044.89x = 303,442,746.21
  5. Step 5: Solve for x
    x = 303,442,746.21/20,044.89
  6. Step 6: Final answer
    x = 15,138.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.