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Finding the Fourth Proportional to 12,655.02, 17,464.02 and 6,989.61

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Solution

The fourth proportional to 12,655.02, 17,464.02 and 6,989.61 is: 9,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.02 : 17,464.02 = 6,989.61 : x
  2. Step 2: Convert to fraction form
    12,655.02/17,464.02 = 6,989.61/x
  3. Step 3: Cross multiply
    12,655.02x = 17,464.02 × 6,989.61
  4. Step 4: Simplify right side
    12,655.02x = 122,066,688.83
  5. Step 5: Solve for x
    x = 122,066,688.83/12,655.02
  6. Step 6: Final answer
    x = 9,645.71

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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.