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Finding the Fourth Proportional to 19,755.76, 27,262.76 and 10,803.16

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Solution

The fourth proportional to 19,755.76, 27,262.76 and 10,803.16 is: 14,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755.76 : 27,262.76 = 10,803.16 : x
  2. Step 2: Convert to fraction form
    19,755.76/27,262.76 = 10,803.16/x
  3. Step 3: Cross multiply
    19,755.76x = 27,262.76 × 10,803.16
  4. Step 4: Simplify right side
    19,755.76x = 294,523,958.32
  5. Step 5: Solve for x
    x = 294,523,958.32/19,755.76
  6. Step 6: Final answer
    x = 14,908.26

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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.