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Finding the Fourth Proportional to 13,292.54, 19,941 and 4,975.46

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Solution

The fourth proportional to 13,292.54, 19,941 and 4,975.46 is: 7,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.54 : 19,941 = 4,975.46 : x
  2. Step 2: Convert to fraction form
    13,292.54/19,941 = 4,975.46/x
  3. Step 3: Cross multiply
    13,292.54x = 19,941 × 4,975.46
  4. Step 4: Simplify right side
    13,292.54x = 99,215,647.86
  5. Step 5: Solve for x
    x = 99,215,647.86/13,292.54
  6. Step 6: Final answer
    x = 7,464.01

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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.