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Finding the Fourth Proportional to 14,002.83, 21,007.51 and 6,212.25

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Solution

The fourth proportional to 14,002.83, 21,007.51 and 6,212.25 is: 9,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.83 : 21,007.51 = 6,212.25 : x
  2. Step 2: Convert to fraction form
    14,002.83/21,007.51 = 6,212.25/x
  3. Step 3: Cross multiply
    14,002.83x = 21,007.51 × 6,212.25
  4. Step 4: Simplify right side
    14,002.83x = 130,503,888.47
  5. Step 5: Solve for x
    x = 130,503,888.47/14,002.83
  6. Step 6: Final answer
    x = 9,319.82

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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.