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Finding the Fourth Proportional to 14,354.38, 19,815.12 and 13,457.62

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Solution

The fourth proportional to 14,354.38, 19,815.12 and 13,457.62 is: 18,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.38 : 19,815.12 = 13,457.62 : x
  2. Step 2: Convert to fraction form
    14,354.38/19,815.12 = 13,457.62/x
  3. Step 3: Cross multiply
    14,354.38x = 19,815.12 × 13,457.62
  4. Step 4: Simplify right side
    14,354.38x = 266,664,355.21
  5. Step 5: Solve for x
    x = 266,664,355.21/14,354.38
  6. Step 6: Final answer
    x = 18,577.21

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Why These Related Problems?

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