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Finding the Fourth Proportional to 14,406.16, 19,874.88 and 10,638.40

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Solution

The fourth proportional to 14,406.16, 19,874.88 and 10,638.40 is: 14,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.16 : 19,874.88 = 10,638.40 : x
  2. Step 2: Convert to fraction form
    14,406.16/19,874.88 = 10,638.40/x
  3. Step 3: Cross multiply
    14,406.16x = 19,874.88 × 10,638.40
  4. Step 4: Simplify right side
    14,406.16x = 211,436,923.39
  5. Step 5: Solve for x
    x = 211,436,923.39/14,406.16
  6. Step 6: Final answer
    x = 14,676.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.