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Finding the Fourth Proportional to 12,970.23, 17,930.72 and 12,851.76

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Solution

The fourth proportional to 12,970.23, 17,930.72 and 12,851.76 is: 17,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.23 : 17,930.72 = 12,851.76 : x
  2. Step 2: Convert to fraction form
    12,970.23/17,930.72 = 12,851.76/x
  3. Step 3: Cross multiply
    12,970.23x = 17,930.72 × 12,851.76
  4. Step 4: Simplify right side
    12,970.23x = 230,441,337.15
  5. Step 5: Solve for x
    x = 230,441,337.15/12,970.23
  6. Step 6: Final answer
    x = 17,766.95

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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.