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Finding the Fourth Proportional to 25,153.40, 37,730.10 and 16,405.40

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Solution

The fourth proportional to 25,153.40, 37,730.10 and 16,405.40 is: 24,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.40 : 37,730.10 = 16,405.40 : x
  2. Step 2: Convert to fraction form
    25,153.40/37,730.10 = 16,405.40/x
  3. Step 3: Cross multiply
    25,153.40x = 37,730.10 × 16,405.40
  4. Step 4: Simplify right side
    25,153.40x = 618,977,382.54
  5. Step 5: Solve for x
    x = 618,977,382.54/25,153.40
  6. Step 6: Final answer
    x = 24,608.10

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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.