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Finding the Fourth Proportional to 13,771.23, 19,003.92 and 7,802.74

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Solution

The fourth proportional to 13,771.23, 19,003.92 and 7,802.74 is: 10,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.23 : 19,003.92 = 7,802.74 : x
  2. Step 2: Convert to fraction form
    13,771.23/19,003.92 = 7,802.74/x
  3. Step 3: Cross multiply
    13,771.23x = 19,003.92 × 7,802.74
  4. Step 4: Simplify right side
    13,771.23x = 148,282,646.74
  5. Step 5: Solve for x
    x = 148,282,646.74/13,771.23
  6. Step 6: Final answer
    x = 10,767.57

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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.