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Finding the Fourth Proportional to 12,690.64, 17,513.12 and 7,101.64

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Solution

The fourth proportional to 12,690.64, 17,513.12 and 7,101.64 is: 9,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.64 : 17,513.12 = 7,101.64 : x
  2. Step 2: Convert to fraction form
    12,690.64/17,513.12 = 7,101.64/x
  3. Step 3: Cross multiply
    12,690.64x = 17,513.12 × 7,101.64
  4. Step 4: Simplify right side
    12,690.64x = 124,371,873.52
  5. Step 5: Solve for x
    x = 124,371,873.52/12,690.64
  6. Step 6: Final answer
    x = 9,800.28

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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.