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Finding the Fourth Proportional to 21,007.04, 31,503.24 and 6,212

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Solution

The fourth proportional to 21,007.04, 31,503.24 and 6,212 is: 9,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.04 : 31,503.24 = 6,212 : x
  2. Step 2: Convert to fraction form
    21,007.04/31,503.24 = 6,212/x
  3. Step 3: Cross multiply
    21,007.04x = 31,503.24 × 6,212
  4. Step 4: Simplify right side
    21,007.04x = 195,698,126.88
  5. Step 5: Solve for x
    x = 195,698,126.88/21,007.04
  6. Step 6: Final answer
    x = 9,315.84

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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.