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Finding the Fourth Proportional to 29,196, 40,297.68 and 16,628.16

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Solution

The fourth proportional to 29,196, 40,297.68 and 16,628.16 is: 22,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196 : 40,297.68 = 16,628.16 : x
  2. Step 2: Convert to fraction form
    29,196/40,297.68 = 16,628.16/x
  3. Step 3: Cross multiply
    29,196x = 40,297.68 × 16,628.16
  4. Step 4: Simplify right side
    29,196x = 670,076,270.67
  5. Step 5: Solve for x
    x = 670,076,270.67/29,196
  6. Step 6: Final answer
    x = 22,950.96

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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.