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Finding the Fourth Proportional to 15,021.64, 22,535.46 and 4,633

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Solution

The fourth proportional to 15,021.64, 22,535.46 and 4,633 is: 6,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,021.64 : 22,535.46 = 4,633 : x
  2. Step 2: Convert to fraction form
    15,021.64/22,535.46 = 4,633/x
  3. Step 3: Cross multiply
    15,021.64x = 22,535.46 × 4,633
  4. Step 4: Simplify right side
    15,021.64x = 104,406,786.18
  5. Step 5: Solve for x
    x = 104,406,786.18/15,021.64
  6. Step 6: Final answer
    x = 6,950.43

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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.