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Finding the Fourth Proportional to 19,623.43, 29,435 and 6,476.86

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Solution

The fourth proportional to 19,623.43, 29,435 and 6,476.86 is: 9,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,623.43 : 29,435 = 6,476.86 : x
  2. Step 2: Convert to fraction form
    19,623.43/29,435 = 6,476.86/x
  3. Step 3: Cross multiply
    19,623.43x = 29,435 × 6,476.86
  4. Step 4: Simplify right side
    19,623.43x = 190,646,226.93
  5. Step 5: Solve for x
    x = 190,646,226.93/19,623.43
  6. Step 6: Final answer
    x = 9,715.24

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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.