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Finding the Fourth Proportional to 23,444.42, 32,352.93 and 12,834

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Solution

The fourth proportional to 23,444.42, 32,352.93 and 12,834 is: 17,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.42 : 32,352.93 = 12,834 : x
  2. Step 2: Convert to fraction form
    23,444.42/32,352.93 = 12,834/x
  3. Step 3: Cross multiply
    23,444.42x = 32,352.93 × 12,834
  4. Step 4: Simplify right side
    23,444.42x = 415,217,503.62
  5. Step 5: Solve for x
    x = 415,217,503.62/23,444.42
  6. Step 6: Final answer
    x = 17,710.72

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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.