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Finding the Fourth Proportional to 13,263.90, 19,892.76 and 5,864.33

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Solution

The fourth proportional to 13,263.90, 19,892.76 and 5,864.33 is: 8,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.90 : 19,892.76 = 5,864.33 : x
  2. Step 2: Convert to fraction form
    13,263.90/19,892.76 = 5,864.33/x
  3. Step 3: Cross multiply
    13,263.90x = 19,892.76 × 5,864.33
  4. Step 4: Simplify right side
    13,263.90x = 116,657,609.79
  5. Step 5: Solve for x
    x = 116,657,609.79/13,263.90
  6. Step 6: Final answer
    x = 8,795.12

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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.