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Finding the Fourth Proportional to 12,534.12, 17,296.32 and 7,157.64

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Solution

The fourth proportional to 12,534.12, 17,296.32 and 7,157.64 is: 9,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.12 : 17,296.32 = 7,157.64 : x
  2. Step 2: Convert to fraction form
    12,534.12/17,296.32 = 7,157.64/x
  3. Step 3: Cross multiply
    12,534.12x = 17,296.32 × 7,157.64
  4. Step 4: Simplify right side
    12,534.12x = 123,800,831.88
  5. Step 5: Solve for x
    x = 123,800,831.88/12,534.12
  6. Step 6: Final answer
    x = 9,877.11

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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.