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Finding the Fourth Proportional to 13,291.68, 19,937.28 and 7,783.44

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Solution

The fourth proportional to 13,291.68, 19,937.28 and 7,783.44 is: 11,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.68 : 19,937.28 = 7,783.44 : x
  2. Step 2: Convert to fraction form
    13,291.68/19,937.28 = 7,783.44/x
  3. Step 3: Cross multiply
    13,291.68x = 19,937.28 × 7,783.44
  4. Step 4: Simplify right side
    13,291.68x = 155,180,622.64
  5. Step 5: Solve for x
    x = 155,180,622.64/13,291.68
  6. Step 6: Final answer
    x = 11,675.02

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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.