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Finding the Fourth Proportional to 14,222.16, 19,626.75 and 7,849.08

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Solution

The fourth proportional to 14,222.16, 19,626.75 and 7,849.08 is: 10,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.16 : 19,626.75 = 7,849.08 : x
  2. Step 2: Convert to fraction form
    14,222.16/19,626.75 = 7,849.08/x
  3. Step 3: Cross multiply
    14,222.16x = 19,626.75 × 7,849.08
  4. Step 4: Simplify right side
    14,222.16x = 154,051,930.89
  5. Step 5: Solve for x
    x = 154,051,930.89/14,222.16
  6. Step 6: Final answer
    x = 10,831.82

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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.