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Finding the Fourth Proportional to 29,596.95, 40,842.09 and 16,165.53

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Solution

The fourth proportional to 29,596.95, 40,842.09 and 16,165.53 is: 22,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596.95 : 40,842.09 = 16,165.53 : x
  2. Step 2: Convert to fraction form
    29,596.95/40,842.09 = 16,165.53/x
  3. Step 3: Cross multiply
    29,596.95x = 40,842.09 × 16,165.53
  4. Step 4: Simplify right side
    29,596.95x = 660,234,031.16
  5. Step 5: Solve for x
    x = 660,234,031.16/29,596.95
  6. Step 6: Final answer
    x = 22,307.50

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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.