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Finding the Fourth Proportional to 23,453, 32,364.93 and 12,842.61

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Solution

The fourth proportional to 23,453, 32,364.93 and 12,842.61 is: 17,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453 : 32,364.93 = 12,842.61 : x
  2. Step 2: Convert to fraction form
    23,453/32,364.93 = 12,842.61/x
  3. Step 3: Cross multiply
    23,453x = 32,364.93 × 12,842.61
  4. Step 4: Simplify right side
    23,453x = 415,650,173.67
  5. Step 5: Solve for x
    x = 415,650,173.67/23,453
  6. Step 6: Final answer
    x = 17,722.69

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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.