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Finding the Fourth Proportional to 15,442.60, 23,161.74 and 5,053

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Solution

The fourth proportional to 15,442.60, 23,161.74 and 5,053 is: 7,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.60 : 23,161.74 = 5,053 : x
  2. Step 2: Convert to fraction form
    15,442.60/23,161.74 = 5,053/x
  3. Step 3: Cross multiply
    15,442.60x = 23,161.74 × 5,053
  4. Step 4: Simplify right side
    15,442.60x = 117,036,272.22
  5. Step 5: Solve for x
    x = 117,036,272.22/15,442.60
  6. Step 6: Final answer
    x = 7,578.79

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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.