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Finding the Fourth Proportional to 19,802.08, 27,327.32 and 10,850

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Solution

The fourth proportional to 19,802.08, 27,327.32 and 10,850 is: 14,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.08 : 27,327.32 = 10,850 : x
  2. Step 2: Convert to fraction form
    19,802.08/27,327.32 = 10,850/x
  3. Step 3: Cross multiply
    19,802.08x = 27,327.32 × 10,850
  4. Step 4: Simplify right side
    19,802.08x = 296,501,422
  5. Step 5: Solve for x
    x = 296,501,422/19,802.08
  6. Step 6: Final answer
    x = 14,973.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.