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Finding the Fourth Proportional to 19,414.35, 29,123.42 and 7,724.84

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Solution

The fourth proportional to 19,414.35, 29,123.42 and 7,724.84 is: 11,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.35 : 29,123.42 = 7,724.84 : x
  2. Step 2: Convert to fraction form
    19,414.35/29,123.42 = 7,724.84/x
  3. Step 3: Cross multiply
    19,414.35x = 29,123.42 × 7,724.84
  4. Step 4: Simplify right side
    19,414.35x = 224,973,575.51
  5. Step 5: Solve for x
    x = 224,973,575.51/19,414.35
  6. Step 6: Final answer
    x = 11,588.00

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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.