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Finding the Fourth Proportional to 14,271.72, 21,391.02 and 7,684.06

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Solution

The fourth proportional to 14,271.72, 21,391.02 and 7,684.06 is: 11,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.72 : 21,391.02 = 7,684.06 : x
  2. Step 2: Convert to fraction form
    14,271.72/21,391.02 = 7,684.06/x
  3. Step 3: Cross multiply
    14,271.72x = 21,391.02 × 7,684.06
  4. Step 4: Simplify right side
    14,271.72x = 164,369,881.14
  5. Step 5: Solve for x
    x = 164,369,881.14/14,271.72
  6. Step 6: Final answer
    x = 11,517.17

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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.