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Finding the Fourth Proportional to 21,027.81, 31,536.22 and 9,931.53

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Solution

The fourth proportional to 21,027.81, 31,536.22 and 9,931.53 is: 14,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027.81 : 31,536.22 = 9,931.53 : x
  2. Step 2: Convert to fraction form
    21,027.81/31,536.22 = 9,931.53/x
  3. Step 3: Cross multiply
    21,027.81x = 31,536.22 × 9,931.53
  4. Step 4: Simplify right side
    21,027.81x = 313,202,915.02
  5. Step 5: Solve for x
    x = 313,202,915.02/21,027.81
  6. Step 6: Final answer
    x = 14,894.70

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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.