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Finding the Fourth Proportional to 12,888.92, 19,357.14 and 7,970.60

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Solution

The fourth proportional to 12,888.92, 19,357.14 and 7,970.60 is: 11,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.92 : 19,357.14 = 7,970.60 : x
  2. Step 2: Convert to fraction form
    12,888.92/19,357.14 = 7,970.60/x
  3. Step 3: Cross multiply
    12,888.92x = 19,357.14 × 7,970.60
  4. Step 4: Simplify right side
    12,888.92x = 154,288,020.08
  5. Step 5: Solve for x
    x = 154,288,020.08/12,888.92
  6. Step 6: Final answer
    x = 11,970.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.