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Finding the Fourth Proportional to 13,213.94, 19,818.74 and 4,892.00

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Solution

The fourth proportional to 13,213.94, 19,818.74 and 4,892.00 is: 7,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.94 : 19,818.74 = 4,892.00 : x
  2. Step 2: Convert to fraction form
    13,213.94/19,818.74 = 4,892.00/x
  3. Step 3: Cross multiply
    13,213.94x = 19,818.74 × 4,892.00
  4. Step 4: Simplify right side
    13,213.94x = 96,953,189.22
  5. Step 5: Solve for x
    x = 96,953,189.22/13,213.94
  6. Step 6: Final answer
    x = 7,337.19

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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.