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Finding the Fourth Proportional to 14,200.84, 21,307.13 and 5,882.54

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Solution

The fourth proportional to 14,200.84, 21,307.13 and 5,882.54 is: 8,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.84 : 21,307.13 = 5,882.54 : x
  2. Step 2: Convert to fraction form
    14,200.84/21,307.13 = 5,882.54/x
  3. Step 3: Cross multiply
    14,200.84x = 21,307.13 × 5,882.54
  4. Step 4: Simplify right side
    14,200.84x = 125,340,044.51
  5. Step 5: Solve for x
    x = 125,340,044.51/14,200.84
  6. Step 6: Final answer
    x = 8,826.24

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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.