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Finding the Fourth Proportional to 14,476.98, 19,977.51 and 8,103.42

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Solution

The fourth proportional to 14,476.98, 19,977.51 and 8,103.42 is: 11,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.98 : 19,977.51 = 8,103.42 : x
  2. Step 2: Convert to fraction form
    14,476.98/19,977.51 = 8,103.42/x
  3. Step 3: Cross multiply
    14,476.98x = 19,977.51 × 8,103.42
  4. Step 4: Simplify right side
    14,476.98x = 161,886,154.08
  5. Step 5: Solve for x
    x = 161,886,154.08/14,476.98
  6. Step 6: Final answer
    x = 11,182.32

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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.