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Finding the Fourth Proportional to 14,187.84, 21,256.45 and 8,638.32

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Solution

The fourth proportional to 14,187.84, 21,256.45 and 8,638.32 is: 12,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.84 : 21,256.45 = 8,638.32 : x
  2. Step 2: Convert to fraction form
    14,187.84/21,256.45 = 8,638.32/x
  3. Step 3: Cross multiply
    14,187.84x = 21,256.45 × 8,638.32
  4. Step 4: Simplify right side
    14,187.84x = 183,620,017.16
  5. Step 5: Solve for x
    x = 183,620,017.16/14,187.84
  6. Step 6: Final answer
    x = 12,942.07

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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.