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Finding the Fourth Proportional to 19,623.40, 29,435.10 and 10,407.40

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Solution

The fourth proportional to 19,623.40, 29,435.10 and 10,407.40 is: 15,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,623.40 : 29,435.10 = 10,407.40 : x
  2. Step 2: Convert to fraction form
    19,623.40/29,435.10 = 10,407.40/x
  3. Step 3: Cross multiply
    19,623.40x = 29,435.10 × 10,407.40
  4. Step 4: Simplify right side
    19,623.40x = 306,342,859.74
  5. Step 5: Solve for x
    x = 306,342,859.74/19,623.40
  6. Step 6: Final answer
    x = 15,611.10

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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.