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Finding the Fourth Proportional to 25,258.24, 37,878.24 and 7,483.60

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Solution

The fourth proportional to 25,258.24, 37,878.24 and 7,483.60 is: 11,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.24 : 37,878.24 = 7,483.60 : x
  2. Step 2: Convert to fraction form
    25,258.24/37,878.24 = 7,483.60/x
  3. Step 3: Cross multiply
    25,258.24x = 37,878.24 × 7,483.60
  4. Step 4: Simplify right side
    25,258.24x = 283,465,596.86
  5. Step 5: Solve for x
    x = 283,465,596.86/25,258.24
  6. Step 6: Final answer
    x = 11,222.70

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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.