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Finding the Fourth Proportional to 19,953.94, 27,538.08 and 11,003.20

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Solution

The fourth proportional to 19,953.94, 27,538.08 and 11,003.20 is: 15,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.94 : 27,538.08 = 11,003.20 : x
  2. Step 2: Convert to fraction form
    19,953.94/27,538.08 = 11,003.20/x
  3. Step 3: Cross multiply
    19,953.94x = 27,538.08 × 11,003.20
  4. Step 4: Simplify right side
    19,953.94x = 303,007,001.86
  5. Step 5: Solve for x
    x = 303,007,001.86/19,953.94
  6. Step 6: Final answer
    x = 15,185.32

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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.