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Finding the Fourth Proportional to 19,566.84, 29,357.46 and 7,883.40

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Solution

The fourth proportional to 19,566.84, 29,357.46 and 7,883.40 is: 11,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566.84 : 29,357.46 = 7,883.40 : x
  2. Step 2: Convert to fraction form
    19,566.84/29,357.46 = 7,883.40/x
  3. Step 3: Cross multiply
    19,566.84x = 29,357.46 × 7,883.40
  4. Step 4: Simplify right side
    19,566.84x = 231,436,600.16
  5. Step 5: Solve for x
    x = 231,436,600.16/19,566.84
  6. Step 6: Final answer
    x = 11,828.00

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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.