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Finding the Fourth Proportional to 19,416.88, 29,128.20 and 7,102

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Solution

The fourth proportional to 19,416.88, 29,128.20 and 7,102 is: 10,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416.88 : 29,128.20 = 7,102 : x
  2. Step 2: Convert to fraction form
    19,416.88/29,128.20 = 7,102/x
  3. Step 3: Cross multiply
    19,416.88x = 29,128.20 × 7,102
  4. Step 4: Simplify right side
    19,416.88x = 206,868,476.40
  5. Step 5: Solve for x
    x = 206,868,476.40/19,416.88
  6. Step 6: Final answer
    x = 10,654.05

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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.