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Finding the Fourth Proportional to 19,722.64, 27,218.35 and 10,770.98

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Solution

The fourth proportional to 19,722.64, 27,218.35 and 10,770.98 is: 14,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.64 : 27,218.35 = 10,770.98 : x
  2. Step 2: Convert to fraction form
    19,722.64/27,218.35 = 10,770.98/x
  3. Step 3: Cross multiply
    19,722.64x = 27,218.35 × 10,770.98
  4. Step 4: Simplify right side
    19,722.64x = 293,168,303.48
  5. Step 5: Solve for x
    x = 293,168,303.48/19,722.64
  6. Step 6: Final answer
    x = 14,864.56

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