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Finding the Fourth Proportional to 19,566.74, 29,349.09 and 6,417.38

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Solution

The fourth proportional to 19,566.74, 29,349.09 and 6,417.38 is: 9,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566.74 : 29,349.09 = 6,417.38 : x
  2. Step 2: Convert to fraction form
    19,566.74/29,349.09 = 6,417.38/x
  3. Step 3: Cross multiply
    19,566.74x = 29,349.09 × 6,417.38
  4. Step 4: Simplify right side
    19,566.74x = 188,344,263.18
  5. Step 5: Solve for x
    x = 188,344,263.18/19,566.74
  6. Step 6: Final answer
    x = 9,625.74

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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.