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Finding the Fourth Proportional to 11,307.62, 16,945.62 and 9,633.02

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Solution

The fourth proportional to 11,307.62, 16,945.62 and 9,633.02 is: 14,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.62 : 16,945.62 = 9,633.02 : x
  2. Step 2: Convert to fraction form
    11,307.62/16,945.62 = 9,633.02/x
  3. Step 3: Cross multiply
    11,307.62x = 16,945.62 × 9,633.02
  4. Step 4: Simplify right side
    11,307.62x = 163,237,411.64
  5. Step 5: Solve for x
    x = 163,237,411.64/11,307.62
  6. Step 6: Final answer
    x = 14,436.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.