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Finding the Fourth Proportional to 29,690.86, 40,973.40 and 16,262.96

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Solution

The fourth proportional to 29,690.86, 40,973.40 and 16,262.96 is: 22,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,690.86 : 40,973.40 = 16,262.96 : x
  2. Step 2: Convert to fraction form
    29,690.86/40,973.40 = 16,262.96/x
  3. Step 3: Cross multiply
    29,690.86x = 40,973.40 × 16,262.96
  4. Step 4: Simplify right side
    29,690.86x = 666,348,479.08
  5. Step 5: Solve for x
    x = 666,348,479.08/29,690.86
  6. Step 6: Final answer
    x = 22,442.89

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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.