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Finding the Fourth Proportional to 13,975.16, 20,963.07 and 5,208.32

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Solution

The fourth proportional to 13,975.16, 20,963.07 and 5,208.32 is: 7,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.16 : 20,963.07 = 5,208.32 : x
  2. Step 2: Convert to fraction form
    13,975.16/20,963.07 = 5,208.32/x
  3. Step 3: Cross multiply
    13,975.16x = 20,963.07 × 5,208.32
  4. Step 4: Simplify right side
    13,975.16x = 109,182,271.93
  5. Step 5: Solve for x
    x = 109,182,271.93/13,975.16
  6. Step 6: Final answer
    x = 7,812.60

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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.