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Finding the Fourth Proportional to 23,038.53, 31,793.23 and 12,967.12

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Solution

The fourth proportional to 23,038.53, 31,793.23 and 12,967.12 is: 17,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.53 : 31,793.23 = 12,967.12 : x
  2. Step 2: Convert to fraction form
    23,038.53/31,793.23 = 12,967.12/x
  3. Step 3: Cross multiply
    23,038.53x = 31,793.23 × 12,967.12
  4. Step 4: Simplify right side
    23,038.53x = 412,266,721.02
  5. Step 5: Solve for x
    x = 412,266,721.02/23,038.53
  6. Step 6: Final answer
    x = 17,894.67

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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.