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Finding the Fourth Proportional to 16,014.06, 22,104.10 and 9,302.71

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Solution

The fourth proportional to 16,014.06, 22,104.10 and 9,302.71 is: 12,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.06 : 22,104.10 = 9,302.71 : x
  2. Step 2: Convert to fraction form
    16,014.06/22,104.10 = 9,302.71/x
  3. Step 3: Cross multiply
    16,014.06x = 22,104.10 × 9,302.71
  4. Step 4: Simplify right side
    16,014.06x = 205,628,032.11
  5. Step 5: Solve for x
    x = 205,628,032.11/16,014.06
  6. Step 6: Final answer
    x = 12,840.47

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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.