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Finding the Fourth Proportional to 15,107.60, 20,858.64 and 11,564.48

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Solution

The fourth proportional to 15,107.60, 20,858.64 and 11,564.48 is: 15,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.60 : 20,858.64 = 11,564.48 : x
  2. Step 2: Convert to fraction form
    15,107.60/20,858.64 = 11,564.48/x
  3. Step 3: Cross multiply
    15,107.60x = 20,858.64 × 11,564.48
  4. Step 4: Simplify right side
    15,107.60x = 241,219,325.11
  5. Step 5: Solve for x
    x = 241,219,325.11/15,107.60
  6. Step 6: Final answer
    x = 15,966.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.