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Finding the Fourth Proportional to 19,509.78, 26,923.86 and 11,549.10

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Solution

The fourth proportional to 19,509.78, 26,923.86 and 11,549.10 is: 15,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.78 : 26,923.86 = 11,549.10 : x
  2. Step 2: Convert to fraction form
    19,509.78/26,923.86 = 11,549.10/x
  3. Step 3: Cross multiply
    19,509.78x = 26,923.86 × 11,549.10
  4. Step 4: Simplify right side
    19,509.78x = 310,946,351.53
  5. Step 5: Solve for x
    x = 310,946,351.53/19,509.78
  6. Step 6: Final answer
    x = 15,937.97

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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.