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Finding the Fourth Proportional to 25,368.16, 38,052.24 and 7,837.60

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Solution

The fourth proportional to 25,368.16, 38,052.24 and 7,837.60 is: 11,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,368.16 : 38,052.24 = 7,837.60 : x
  2. Step 2: Convert to fraction form
    25,368.16/38,052.24 = 7,837.60/x
  3. Step 3: Cross multiply
    25,368.16x = 38,052.24 × 7,837.60
  4. Step 4: Simplify right side
    25,368.16x = 298,238,236.22
  5. Step 5: Solve for x
    x = 298,238,236.22/25,368.16
  6. Step 6: Final answer
    x = 11,756.40

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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.