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Finding the Fourth Proportional to 19,419.91, 29,123.70 and 8,323.63

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Solution

The fourth proportional to 19,419.91, 29,123.70 and 8,323.63 is: 12,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.91 : 29,123.70 = 8,323.63 : x
  2. Step 2: Convert to fraction form
    19,419.91/29,123.70 = 8,323.63/x
  3. Step 3: Cross multiply
    19,419.91x = 29,123.70 × 8,323.63
  4. Step 4: Simplify right side
    19,419.91x = 242,414,903.03
  5. Step 5: Solve for x
    x = 242,414,903.03/19,419.91
  6. Step 6: Final answer
    x = 12,482.80

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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.