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Finding the Fourth Proportional to 19,538.64, 29,307.54 and 4,747.64

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Solution

The fourth proportional to 19,538.64, 29,307.54 and 4,747.64 is: 7,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.64 : 29,307.54 = 4,747.64 : x
  2. Step 2: Convert to fraction form
    19,538.64/29,307.54 = 4,747.64/x
  3. Step 3: Cross multiply
    19,538.64x = 29,307.54 × 4,747.64
  4. Step 4: Simplify right side
    19,538.64x = 139,141,649.21
  5. Step 5: Solve for x
    x = 139,141,649.21/19,538.64
  6. Step 6: Final answer
    x = 7,121.36

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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.