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Finding the Fourth Proportional to 13,208.64, 19,820.70 and 4,894.44

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Solution

The fourth proportional to 13,208.64, 19,820.70 and 4,894.44 is: 7,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.64 : 19,820.70 = 4,894.44 : x
  2. Step 2: Convert to fraction form
    13,208.64/19,820.70 = 4,894.44/x
  3. Step 3: Cross multiply
    13,208.64x = 19,820.70 × 4,894.44
  4. Step 4: Simplify right side
    13,208.64x = 97,011,226.91
  5. Step 5: Solve for x
    x = 97,011,226.91/13,208.64
  6. Step 6: Final answer
    x = 7,344.53

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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.