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Finding the Fourth Proportional to 14,971.32, 22,452.12 and 7,072.74

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Solution

The fourth proportional to 14,971.32, 22,452.12 and 7,072.74 is: 10,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.32 : 22,452.12 = 7,072.74 : x
  2. Step 2: Convert to fraction form
    14,971.32/22,452.12 = 7,072.74/x
  3. Step 3: Cross multiply
    14,971.32x = 22,452.12 × 7,072.74
  4. Step 4: Simplify right side
    14,971.32x = 158,798,007.21
  5. Step 5: Solve for x
    x = 158,798,007.21/14,971.32
  6. Step 6: Final answer
    x = 10,606.81

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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.