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Finding the Fourth Proportional to 20,690.53, 31,030.29 and 9,001

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Solution

The fourth proportional to 20,690.53, 31,030.29 and 9,001 is: 13,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.53 : 31,030.29 = 9,001 : x
  2. Step 2: Convert to fraction form
    20,690.53/31,030.29 = 9,001/x
  3. Step 3: Cross multiply
    20,690.53x = 31,030.29 × 9,001
  4. Step 4: Simplify right side
    20,690.53x = 279,303,640.29
  5. Step 5: Solve for x
    x = 279,303,640.29/20,690.53
  6. Step 6: Final answer
    x = 13,499.11

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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.