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Finding the Fourth Proportional to 12,688.21, 17,509.77 and 7,023.35

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Solution

The fourth proportional to 12,688.21, 17,509.77 and 7,023.35 is: 9,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.21 : 17,509.77 = 7,023.35 : x
  2. Step 2: Convert to fraction form
    12,688.21/17,509.77 = 7,023.35/x
  3. Step 3: Cross multiply
    12,688.21x = 17,509.77 × 7,023.35
  4. Step 4: Simplify right side
    12,688.21x = 122,977,208.01
  5. Step 5: Solve for x
    x = 122,977,208.01/12,688.21
  6. Step 6: Final answer
    x = 9,692.24

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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.