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Finding the Fourth Proportional to 29,705, 40,992.92 and 16,457

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Solution

The fourth proportional to 29,705, 40,992.92 and 16,457 is: 22,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705 : 40,992.92 = 16,457 : x
  2. Step 2: Convert to fraction form
    29,705/40,992.92 = 16,457/x
  3. Step 3: Cross multiply
    29,705x = 40,992.92 × 16,457
  4. Step 4: Simplify right side
    29,705x = 674,620,484.44
  5. Step 5: Solve for x
    x = 674,620,484.44/29,705
  6. Step 6: Final answer
    x = 22,710.67

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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.