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Finding the Fourth Proportional to 13,143.90, 19,697.76 and 5,754.54

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Solution

The fourth proportional to 13,143.90, 19,697.76 and 5,754.54 is: 8,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.90 : 19,697.76 = 5,754.54 : x
  2. Step 2: Convert to fraction form
    13,143.90/19,697.76 = 5,754.54/x
  3. Step 3: Cross multiply
    13,143.90x = 19,697.76 × 5,754.54
  4. Step 4: Simplify right side
    13,143.90x = 113,351,547.83
  5. Step 5: Solve for x
    x = 113,351,547.83/13,143.90
  6. Step 6: Final answer
    x = 8,623.89

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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.