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Finding the Fourth Proportional to 19,641.86, 29,443.54 and 6,485.44

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Solution

The fourth proportional to 19,641.86, 29,443.54 and 6,485.44 is: 9,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.86 : 29,443.54 = 6,485.44 : x
  2. Step 2: Convert to fraction form
    19,641.86/29,443.54 = 6,485.44/x
  3. Step 3: Cross multiply
    19,641.86x = 29,443.54 × 6,485.44
  4. Step 4: Simplify right side
    19,641.86x = 190,954,312.06
  5. Step 5: Solve for x
    x = 190,954,312.06/19,641.86
  6. Step 6: Final answer
    x = 9,721.80

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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.