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Finding the Fourth Proportional to 19,576.40, 29,364.62 and 9,188.16

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Solution

The fourth proportional to 19,576.40, 29,364.62 and 9,188.16 is: 13,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576.40 : 29,364.62 = 9,188.16 : x
  2. Step 2: Convert to fraction form
    19,576.40/29,364.62 = 9,188.16/x
  3. Step 3: Cross multiply
    19,576.40x = 29,364.62 × 9,188.16
  4. Step 4: Simplify right side
    19,576.40x = 269,806,826.90
  5. Step 5: Solve for x
    x = 269,806,826.90/19,576.40
  6. Step 6: Final answer
    x = 13,782.25

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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.