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Finding the Fourth Proportional to 13,984.47, 20,980.35 and 5,220.07

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Solution

The fourth proportional to 13,984.47, 20,980.35 and 5,220.07 is: 7,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.47 : 20,980.35 = 5,220.07 : x
  2. Step 2: Convert to fraction form
    13,984.47/20,980.35 = 5,220.07/x
  3. Step 3: Cross multiply
    13,984.47x = 20,980.35 × 5,220.07
  4. Step 4: Simplify right side
    13,984.47x = 109,518,843.17
  5. Step 5: Solve for x
    x = 109,518,843.17/13,984.47
  6. Step 6: Final answer
    x = 7,831.46

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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.