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Finding the Fourth Proportional to 15,300.26, 22,931.26 and 6,524.94

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Solution

The fourth proportional to 15,300.26, 22,931.26 and 6,524.94 is: 9,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300.26 : 22,931.26 = 6,524.94 : x
  2. Step 2: Convert to fraction form
    15,300.26/22,931.26 = 6,524.94/x
  3. Step 3: Cross multiply
    15,300.26x = 22,931.26 × 6,524.94
  4. Step 4: Simplify right side
    15,300.26x = 149,625,095.62
  5. Step 5: Solve for x
    x = 149,625,095.62/15,300.26
  6. Step 6: Final answer
    x = 9,779.25

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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.