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Finding the Fourth Proportional to 10,928.36, 16,466.27 and 9,023.24

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Solution

The fourth proportional to 10,928.36, 16,466.27 and 9,023.24 is: 13,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.36 : 16,466.27 = 9,023.24 : x
  2. Step 2: Convert to fraction form
    10,928.36/16,466.27 = 9,023.24/x
  3. Step 3: Cross multiply
    10,928.36x = 16,466.27 × 9,023.24
  4. Step 4: Simplify right side
    10,928.36x = 148,579,106.11
  5. Step 5: Solve for x
    x = 148,579,106.11/10,928.36
  6. Step 6: Final answer
    x = 13,595.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.