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Finding the Fourth Proportional to 25,193.64, 37,732.86 and 12,055.24

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Solution

The fourth proportional to 25,193.64, 37,732.86 and 12,055.24 is: 18,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.64 : 37,732.86 = 12,055.24 : x
  2. Step 2: Convert to fraction form
    25,193.64/37,732.86 = 12,055.24/x
  3. Step 3: Cross multiply
    25,193.64x = 37,732.86 × 12,055.24
  4. Step 4: Simplify right side
    25,193.64x = 454,878,683.19
  5. Step 5: Solve for x
    x = 454,878,683.19/25,193.64
  6. Step 6: Final answer
    x = 18,055.30

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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.