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Finding the Fourth Proportional to 13,770.28, 19,005.06 and 7,802.20

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Solution

The fourth proportional to 13,770.28, 19,005.06 and 7,802.20 is: 10,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.28 : 19,005.06 = 7,802.20 : x
  2. Step 2: Convert to fraction form
    13,770.28/19,005.06 = 7,802.20/x
  3. Step 3: Cross multiply
    13,770.28x = 19,005.06 × 7,802.20
  4. Step 4: Simplify right side
    13,770.28x = 148,281,279.13
  5. Step 5: Solve for x
    x = 148,281,279.13/13,770.28
  6. Step 6: Final answer
    x = 10,768.21

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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.