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Finding the Fourth Proportional to 19,423.34, 29,135.02 and 8,322.83

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Solution

The fourth proportional to 19,423.34, 29,135.02 and 8,322.83 is: 12,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.34 : 29,135.02 = 8,322.83 : x
  2. Step 2: Convert to fraction form
    19,423.34/29,135.02 = 8,322.83/x
  3. Step 3: Cross multiply
    19,423.34x = 29,135.02 × 8,322.83
  4. Step 4: Simplify right side
    19,423.34x = 242,485,652.02
  5. Step 5: Solve for x
    x = 242,485,652.02/19,423.34
  6. Step 6: Final answer
    x = 12,484.24

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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.