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Finding the Fourth Proportional to 13,204.90, 19,807.34 and 5,307.41

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Solution

The fourth proportional to 13,204.90, 19,807.34 and 5,307.41 is: 7,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.90 : 19,807.34 = 5,307.41 : x
  2. Step 2: Convert to fraction form
    13,204.90/19,807.34 = 5,307.41/x
  3. Step 3: Cross multiply
    13,204.90x = 19,807.34 × 5,307.41
  4. Step 4: Simplify right side
    13,204.90x = 105,125,697.37
  5. Step 5: Solve for x
    x = 105,125,697.37/13,204.90
  6. Step 6: Final answer
    x = 7,961.11

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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.