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Finding the Fourth Proportional to 14,895.64, 22,343.45 and 3,802.33

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Solution

The fourth proportional to 14,895.64, 22,343.45 and 3,802.33 is: 5,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,895.64 : 22,343.45 = 3,802.33 : x
  2. Step 2: Convert to fraction form
    14,895.64/22,343.45 = 3,802.33/x
  3. Step 3: Cross multiply
    14,895.64x = 22,343.45 × 3,802.33
  4. Step 4: Simplify right side
    14,895.64x = 84,957,170.24
  5. Step 5: Solve for x
    x = 84,957,170.24/14,895.64
  6. Step 6: Final answer
    x = 5,703.49

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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.