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Finding the Fourth Proportional to 12,554.94, 18,722.69 and 11,002.16

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Solution

The fourth proportional to 12,554.94, 18,722.69 and 11,002.16 is: 16,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.94 : 18,722.69 = 11,002.16 : x
  2. Step 2: Convert to fraction form
    12,554.94/18,722.69 = 11,002.16/x
  3. Step 3: Cross multiply
    12,554.94x = 18,722.69 × 11,002.16
  4. Step 4: Simplify right side
    12,554.94x = 205,990,031.01
  5. Step 5: Solve for x
    x = 205,990,031.01/12,554.94
  6. Step 6: Final answer
    x = 16,407.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.