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Finding the Fourth Proportional to 23,068.15, 31,834.04 and 12,457.78

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Solution

The fourth proportional to 23,068.15, 31,834.04 and 12,457.78 is: 17,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068.15 : 31,834.04 = 12,457.78 : x
  2. Step 2: Convert to fraction form
    23,068.15/31,834.04 = 12,457.78/x
  3. Step 3: Cross multiply
    23,068.15x = 31,834.04 × 12,457.78
  4. Step 4: Simplify right side
    23,068.15x = 396,581,466.83
  5. Step 5: Solve for x
    x = 396,581,466.83/23,068.15
  6. Step 6: Final answer
    x = 17,191.74

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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.