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Finding the Fourth Proportional to 13,769.72, 19,001.58 and 7,802.27

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Solution

The fourth proportional to 13,769.72, 19,001.58 and 7,802.27 is: 10,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.72 : 19,001.58 = 7,802.27 : x
  2. Step 2: Convert to fraction form
    13,769.72/19,001.58 = 7,802.27/x
  3. Step 3: Cross multiply
    13,769.72x = 19,001.58 × 7,802.27
  4. Step 4: Simplify right side
    13,769.72x = 148,255,457.59
  5. Step 5: Solve for x
    x = 148,255,457.59/13,769.72
  6. Step 6: Final answer
    x = 10,766.77

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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.