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Finding the Fourth Proportional to 12,806.02, 17,652.09 and 9,656.74

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Solution

The fourth proportional to 12,806.02, 17,652.09 and 9,656.74 is: 13,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.02 : 17,652.09 = 9,656.74 : x
  2. Step 2: Convert to fraction form
    12,806.02/17,652.09 = 9,656.74/x
  3. Step 3: Cross multiply
    12,806.02x = 17,652.09 × 9,656.74
  4. Step 4: Simplify right side
    12,806.02x = 170,461,643.59
  5. Step 5: Solve for x
    x = 170,461,643.59/12,806.02
  6. Step 6: Final answer
    x = 13,311.06

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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.