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Finding the Fourth Proportional to 13,768.42, 19,001.36 and 7,800.14

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Solution

The fourth proportional to 13,768.42, 19,001.36 and 7,800.14 is: 10,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.42 : 19,001.36 = 7,800.14 : x
  2. Step 2: Convert to fraction form
    13,768.42/19,001.36 = 7,800.14/x
  3. Step 3: Cross multiply
    13,768.42x = 19,001.36 × 7,800.14
  4. Step 4: Simplify right side
    13,768.42x = 148,213,254.19
  5. Step 5: Solve for x
    x = 148,213,254.19/13,768.42
  6. Step 6: Final answer
    x = 10,764.72

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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.