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Finding the Fourth Proportional to 12,722.19, 19,095.03 and 9,168

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Solution

The fourth proportional to 12,722.19, 19,095.03 and 9,168 is: 13,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.19 : 19,095.03 = 9,168 : x
  2. Step 2: Convert to fraction form
    12,722.19/19,095.03 = 9,168/x
  3. Step 3: Cross multiply
    12,722.19x = 19,095.03 × 9,168
  4. Step 4: Simplify right side
    12,722.19x = 175,063,235.04
  5. Step 5: Solve for x
    x = 175,063,235.04/12,722.19
  6. Step 6: Final answer
    x = 13,760.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.