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Finding the Fourth Proportional to 19,423.92, 29,089.14 and 13,164.94

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Solution

The fourth proportional to 19,423.92, 29,089.14 and 13,164.94 is: 19,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.92 : 29,089.14 = 13,164.94 : x
  2. Step 2: Convert to fraction form
    19,423.92/29,089.14 = 13,164.94/x
  3. Step 3: Cross multiply
    19,423.92x = 29,089.14 × 13,164.94
  4. Step 4: Simplify right side
    19,423.92x = 382,956,782.75
  5. Step 5: Solve for x
    x = 382,956,782.75/19,423.92
  6. Step 6: Final answer
    x = 19,715.73

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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.