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Finding the Fourth Proportional to 19,570.14, 29,354.92 and 7,883.06

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Solution

The fourth proportional to 19,570.14, 29,354.92 and 7,883.06 is: 11,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.14 : 29,354.92 = 7,883.06 : x
  2. Step 2: Convert to fraction form
    19,570.14/29,354.92 = 7,883.06/x
  3. Step 3: Cross multiply
    19,570.14x = 29,354.92 × 7,883.06
  4. Step 4: Simplify right side
    19,570.14x = 231,406,595.66
  5. Step 5: Solve for x
    x = 231,406,595.66/19,570.14
  6. Step 6: Final answer
    x = 11,824.47

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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.