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Finding the Fourth Proportional to 15,716.94, 23,566.74 and 6,941.58

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Solution

The fourth proportional to 15,716.94, 23,566.74 and 6,941.58 is: 10,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.94 : 23,566.74 = 6,941.58 : x
  2. Step 2: Convert to fraction form
    15,716.94/23,566.74 = 6,941.58/x
  3. Step 3: Cross multiply
    15,716.94x = 23,566.74 × 6,941.58
  4. Step 4: Simplify right side
    15,716.94x = 163,590,411.05
  5. Step 5: Solve for x
    x = 163,590,411.05/15,716.94
  6. Step 6: Final answer
    x = 10,408.54

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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.