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Finding the Fourth Proportional to 15,445.60, 23,166.24 and 5,056

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Solution

The fourth proportional to 15,445.60, 23,166.24 and 5,056 is: 7,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445.60 : 23,166.24 = 5,056 : x
  2. Step 2: Convert to fraction form
    15,445.60/23,166.24 = 5,056/x
  3. Step 3: Cross multiply
    15,445.60x = 23,166.24 × 5,056
  4. Step 4: Simplify right side
    15,445.60x = 117,128,509.44
  5. Step 5: Solve for x
    x = 117,128,509.44/15,445.60
  6. Step 6: Final answer
    x = 7,583.29

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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.