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Finding the Fourth Proportional to 16,403.98, 24,590.94 and 7,965.58

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Solution

The fourth proportional to 16,403.98, 24,590.94 and 7,965.58 is: 11,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.98 : 24,590.94 = 7,965.58 : x
  2. Step 2: Convert to fraction form
    16,403.98/24,590.94 = 7,965.58/x
  3. Step 3: Cross multiply
    16,403.98x = 24,590.94 × 7,965.58
  4. Step 4: Simplify right side
    16,403.98x = 195,881,014.42
  5. Step 5: Solve for x
    x = 195,881,014.42/16,403.98
  6. Step 6: Final answer
    x = 11,941.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.