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Finding the Fourth Proportional to 19,667.66, 29,480.47 and 7,805

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Solution

The fourth proportional to 19,667.66, 29,480.47 and 7,805 is: 11,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.66 : 29,480.47 = 7,805 : x
  2. Step 2: Convert to fraction form
    19,667.66/29,480.47 = 7,805/x
  3. Step 3: Cross multiply
    19,667.66x = 29,480.47 × 7,805
  4. Step 4: Simplify right side
    19,667.66x = 230,095,068.35
  5. Step 5: Solve for x
    x = 230,095,068.35/19,667.66
  6. Step 6: Final answer
    x = 11,699.16

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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.