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Finding the Fourth Proportional to 14,354.32, 19,801.74 and 12,463.34

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Solution

The fourth proportional to 14,354.32, 19,801.74 and 12,463.34 is: 17,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.32 : 19,801.74 = 12,463.34 : x
  2. Step 2: Convert to fraction form
    14,354.32/19,801.74 = 12,463.34/x
  3. Step 3: Cross multiply
    14,354.32x = 19,801.74 × 12,463.34
  4. Step 4: Simplify right side
    14,354.32x = 246,795,818.21
  5. Step 5: Solve for x
    x = 246,795,818.21/14,354.32
  6. Step 6: Final answer
    x = 17,193.14

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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.