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Finding the Fourth Proportional to 14,535.72, 20,065.32 and 9,826.38

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Solution

The fourth proportional to 14,535.72, 20,065.32 and 9,826.38 is: 13,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535.72 : 20,065.32 = 9,826.38 : x
  2. Step 2: Convert to fraction form
    14,535.72/20,065.32 = 9,826.38/x
  3. Step 3: Cross multiply
    14,535.72x = 20,065.32 × 9,826.38
  4. Step 4: Simplify right side
    14,535.72x = 197,169,459.14
  5. Step 5: Solve for x
    x = 197,169,459.14/14,535.72
  6. Step 6: Final answer
    x = 13,564.48

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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.