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Finding the Fourth Proportional to 27,802.40, 41,707.20 and 13,769.60

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Solution

The fourth proportional to 27,802.40, 41,707.20 and 13,769.60 is: 20,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.40 : 41,707.20 = 13,769.60 : x
  2. Step 2: Convert to fraction form
    27,802.40/41,707.20 = 13,769.60/x
  3. Step 3: Cross multiply
    27,802.40x = 41,707.20 × 13,769.60
  4. Step 4: Simplify right side
    27,802.40x = 574,291,461.12
  5. Step 5: Solve for x
    x = 574,291,461.12/27,802.40
  6. Step 6: Final answer
    x = 20,656.18

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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.