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Finding the Fourth Proportional to 14,583.16, 21,877.02 and 5,347

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Solution

The fourth proportional to 14,583.16, 21,877.02 and 5,347 is: 8,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.16 : 21,877.02 = 5,347 : x
  2. Step 2: Convert to fraction form
    14,583.16/21,877.02 = 5,347/x
  3. Step 3: Cross multiply
    14,583.16x = 21,877.02 × 5,347
  4. Step 4: Simplify right side
    14,583.16x = 116,976,425.94
  5. Step 5: Solve for x
    x = 116,976,425.94/14,583.16
  6. Step 6: Final answer
    x = 8,021.34

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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.