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Finding the Fourth Proportional to 12,688.40, 17,509.61 and 7,023.38

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Solution

The fourth proportional to 12,688.40, 17,509.61 and 7,023.38 is: 9,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.40 : 17,509.61 = 7,023.38 : x
  2. Step 2: Convert to fraction form
    12,688.40/17,509.61 = 7,023.38/x
  3. Step 3: Cross multiply
    12,688.40x = 17,509.61 × 7,023.38
  4. Step 4: Simplify right side
    12,688.40x = 122,976,522.02
  5. Step 5: Solve for x
    x = 122,976,522.02/12,688.40
  6. Step 6: Final answer
    x = 9,692.05

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Why These Related Problems?

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