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Finding the Fourth Proportional to 21,303.12, 31,969.08 and 7,452.24

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Solution

The fourth proportional to 21,303.12, 31,969.08 and 7,452.24 is: 11,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.12 : 31,969.08 = 7,452.24 : x
  2. Step 2: Convert to fraction form
    21,303.12/31,969.08 = 7,452.24/x
  3. Step 3: Cross multiply
    21,303.12x = 31,969.08 × 7,452.24
  4. Step 4: Simplify right side
    21,303.12x = 238,241,256.74
  5. Step 5: Solve for x
    x = 238,241,256.74/21,303.12
  6. Step 6: Final answer
    x = 11,183.40

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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.