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Finding the Fourth Proportional to 20,859.84, 31,291.20 and 7,004.16

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Solution

The fourth proportional to 20,859.84, 31,291.20 and 7,004.16 is: 10,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.84 : 31,291.20 = 7,004.16 : x
  2. Step 2: Convert to fraction form
    20,859.84/31,291.20 = 7,004.16/x
  3. Step 3: Cross multiply
    20,859.84x = 31,291.20 × 7,004.16
  4. Step 4: Simplify right side
    20,859.84x = 219,168,571.39
  5. Step 5: Solve for x
    x = 219,168,571.39/20,859.84
  6. Step 6: Final answer
    x = 10,506.72

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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.