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Finding the Fourth Proportional to 19,569.16, 29,353.40 and 7,882.08

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Solution

The fourth proportional to 19,569.16, 29,353.40 and 7,882.08 is: 11,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.16 : 29,353.40 = 7,882.08 : x
  2. Step 2: Convert to fraction form
    19,569.16/29,353.40 = 7,882.08/x
  3. Step 3: Cross multiply
    19,569.16x = 29,353.40 × 7,882.08
  4. Step 4: Simplify right side
    19,569.16x = 231,365,847.07
  5. Step 5: Solve for x
    x = 231,365,847.07/19,569.16
  6. Step 6: Final answer
    x = 11,822.98

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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.