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Finding the Fourth Proportional to 19,619.16, 29,428.50 and 9,223.56

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Solution

The fourth proportional to 19,619.16, 29,428.50 and 9,223.56 is: 13,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619.16 : 29,428.50 = 9,223.56 : x
  2. Step 2: Convert to fraction form
    19,619.16/29,428.50 = 9,223.56/x
  3. Step 3: Cross multiply
    19,619.16x = 29,428.50 × 9,223.56
  4. Step 4: Simplify right side
    19,619.16x = 271,435,535.46
  5. Step 5: Solve for x
    x = 271,435,535.46/19,619.16
  6. Step 6: Final answer
    x = 13,835.23

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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.