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Finding the Fourth Proportional to 14,038.16, 21,044.84 and 5,725.13

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Solution

The fourth proportional to 14,038.16, 21,044.84 and 5,725.13 is: 8,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.16 : 21,044.84 = 5,725.13 : x
  2. Step 2: Convert to fraction form
    14,038.16/21,044.84 = 5,725.13/x
  3. Step 3: Cross multiply
    14,038.16x = 21,044.84 × 5,725.13
  4. Step 4: Simplify right side
    14,038.16x = 120,484,310.98
  5. Step 5: Solve for x
    x = 120,484,310.98/14,038.16
  6. Step 6: Final answer
    x = 8,582.63

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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.