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Finding the Fourth Proportional to 23,217.50, 32,039.93 and 12,606.50

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Solution

The fourth proportional to 23,217.50, 32,039.93 and 12,606.50 is: 17,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.50 : 32,039.93 = 12,606.50 : x
  2. Step 2: Convert to fraction form
    23,217.50/32,039.93 = 12,606.50/x
  3. Step 3: Cross multiply
    23,217.50x = 32,039.93 × 12,606.50
  4. Step 4: Simplify right side
    23,217.50x = 403,911,248.86
  5. Step 5: Solve for x
    x = 403,911,248.86/23,217.50
  6. Step 6: Final answer
    x = 17,396.85

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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.