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Finding the Fourth Proportional to 19,567.13, 29,354.92 and 6,419.00

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Solution

The fourth proportional to 19,567.13, 29,354.92 and 6,419.00 is: 9,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.13 : 29,354.92 = 6,419.00 : x
  2. Step 2: Convert to fraction form
    19,567.13/29,354.92 = 6,419.00/x
  3. Step 3: Cross multiply
    19,567.13x = 29,354.92 × 6,419.00
  4. Step 4: Simplify right side
    19,567.13x = 188,429,288.82
  5. Step 5: Solve for x
    x = 188,429,288.82/19,567.13
  6. Step 6: Final answer
    x = 9,629.89

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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.