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Finding the Fourth Proportional to 12,102.32, 16,703.18 and 8,322.32

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Solution

The fourth proportional to 12,102.32, 16,703.18 and 8,322.32 is: 11,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.32 : 16,703.18 = 8,322.32 : x
  2. Step 2: Convert to fraction form
    12,102.32/16,703.18 = 8,322.32/x
  3. Step 3: Cross multiply
    12,102.32x = 16,703.18 × 8,322.32
  4. Step 4: Simplify right side
    12,102.32x = 139,009,208.98
  5. Step 5: Solve for x
    x = 139,009,208.98/12,102.32
  6. Step 6: Final answer
    x = 11,486.16

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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.