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Finding the Fourth Proportional to 29,457, 40,650.66 and 16,209

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Solution

The fourth proportional to 29,457, 40,650.66 and 16,209 is: 22,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457 : 40,650.66 = 16,209 : x
  2. Step 2: Convert to fraction form
    29,457/40,650.66 = 16,209/x
  3. Step 3: Cross multiply
    29,457x = 40,650.66 × 16,209
  4. Step 4: Simplify right side
    29,457x = 658,906,547.94
  5. Step 5: Solve for x
    x = 658,906,547.94/29,457
  6. Step 6: Final answer
    x = 22,368.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.