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Finding the Fourth Proportional to 13,962.51, 20,916.43 and 8,106.82

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Solution

The fourth proportional to 13,962.51, 20,916.43 and 8,106.82 is: 12,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962.51 : 20,916.43 = 8,106.82 : x
  2. Step 2: Convert to fraction form
    13,962.51/20,916.43 = 8,106.82/x
  3. Step 3: Cross multiply
    13,962.51x = 20,916.43 × 8,106.82
  4. Step 4: Simplify right side
    13,962.51x = 169,565,660.49
  5. Step 5: Solve for x
    x = 169,565,660.49/13,962.51
  6. Step 6: Final answer
    x = 12,144.35

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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.