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Finding the Fourth Proportional to 15,223.50, 22,837.06 and 6,457.26

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Solution

The fourth proportional to 15,223.50, 22,837.06 and 6,457.26 is: 9,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.50 : 22,837.06 = 6,457.26 : x
  2. Step 2: Convert to fraction form
    15,223.50/22,837.06 = 6,457.26/x
  3. Step 3: Cross multiply
    15,223.50x = 22,837.06 × 6,457.26
  4. Step 4: Simplify right side
    15,223.50x = 147,464,834.06
  5. Step 5: Solve for x
    x = 147,464,834.06/15,223.50
  6. Step 6: Final answer
    x = 9,686.66

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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.