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Finding the Fourth Proportional to 29,967.76, 41,355.12 and 16,538.77

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Solution

The fourth proportional to 29,967.76, 41,355.12 and 16,538.77 is: 22,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.76 : 41,355.12 = 16,538.77 : x
  2. Step 2: Convert to fraction form
    29,967.76/41,355.12 = 16,538.77/x
  3. Step 3: Cross multiply
    29,967.76x = 41,355.12 × 16,538.77
  4. Step 4: Simplify right side
    29,967.76x = 683,962,818.00
  5. Step 5: Solve for x
    x = 683,962,818.00/29,967.76
  6. Step 6: Final answer
    x = 22,823.29

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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.