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Finding the Fourth Proportional to 19,540.32, 29,307.04 and 5,686.08

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Solution

The fourth proportional to 19,540.32, 29,307.04 and 5,686.08 is: 8,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.32 : 29,307.04 = 5,686.08 : x
  2. Step 2: Convert to fraction form
    19,540.32/29,307.04 = 5,686.08/x
  3. Step 3: Cross multiply
    19,540.32x = 29,307.04 × 5,686.08
  4. Step 4: Simplify right side
    19,540.32x = 166,642,174.00
  5. Step 5: Solve for x
    x = 166,642,174.00/19,540.32
  6. Step 6: Final answer
    x = 8,528.12

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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.