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Finding the Fourth Proportional to 19,722.40, 29,596.08 and 10,494.88

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Solution

The fourth proportional to 19,722.40, 29,596.08 and 10,494.88 is: 15,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.40 : 29,596.08 = 10,494.88 : x
  2. Step 2: Convert to fraction form
    19,722.40/29,596.08 = 10,494.88/x
  3. Step 3: Cross multiply
    19,722.40x = 29,596.08 × 10,494.88
  4. Step 4: Simplify right side
    19,722.40x = 310,607,308.07
  5. Step 5: Solve for x
    x = 310,607,308.07/19,722.40
  6. Step 6: Final answer
    x = 15,748.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.