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Finding the Fourth Proportional to 29,341.52, 40,490.88 and 16,766

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Solution

The fourth proportional to 29,341.52, 40,490.88 and 16,766 is: 23,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,341.52 : 40,490.88 = 16,766 : x
  2. Step 2: Convert to fraction form
    29,341.52/40,490.88 = 16,766/x
  3. Step 3: Cross multiply
    29,341.52x = 40,490.88 × 16,766
  4. Step 4: Simplify right side
    29,341.52x = 678,870,094.08
  5. Step 5: Solve for x
    x = 678,870,094.08/29,341.52
  6. Step 6: Final answer
    x = 23,136.84

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