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Finding the Fourth Proportional to 19,742.64, 29,588.04 and 9,357.36

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Solution

The fourth proportional to 19,742.64, 29,588.04 and 9,357.36 is: 14,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742.64 : 29,588.04 = 9,357.36 : x
  2. Step 2: Convert to fraction form
    19,742.64/29,588.04 = 9,357.36/x
  3. Step 3: Cross multiply
    19,742.64x = 29,588.04 × 9,357.36
  4. Step 4: Simplify right side
    19,742.64x = 276,865,941.97
  5. Step 5: Solve for x
    x = 276,865,941.97/19,742.64
  6. Step 6: Final answer
    x = 14,023.75

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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.