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Finding the Fourth Proportional to 29,586.16, 40,829.18 and 16,838.72

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Solution

The fourth proportional to 29,586.16, 40,829.18 and 16,838.72 is: 23,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.16 : 40,829.18 = 16,838.72 : x
  2. Step 2: Convert to fraction form
    29,586.16/40,829.18 = 16,838.72/x
  3. Step 3: Cross multiply
    29,586.16x = 40,829.18 × 16,838.72
  4. Step 4: Simplify right side
    29,586.16x = 687,511,089.34
  5. Step 5: Solve for x
    x = 687,511,089.34/29,586.16
  6. Step 6: Final answer
    x = 23,237.59

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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.