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Finding the Fourth Proportional to 14,537.72, 20,068.08 and 9,828.38

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Solution

The fourth proportional to 14,537.72, 20,068.08 and 9,828.38 is: 13,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.72 : 20,068.08 = 9,828.38 : x
  2. Step 2: Convert to fraction form
    14,537.72/20,068.08 = 9,828.38/x
  3. Step 3: Cross multiply
    14,537.72x = 20,068.08 × 9,828.38
  4. Step 4: Simplify right side
    14,537.72x = 197,236,716.11
  5. Step 5: Solve for x
    x = 197,236,716.11/14,537.72
  6. Step 6: Final answer
    x = 13,567.24

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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.