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Finding the Fourth Proportional to 12,922.96, 17,835.78 and 7,888

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Solution

The fourth proportional to 12,922.96, 17,835.78 and 7,888 is: 10,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.96 : 17,835.78 = 7,888 : x
  2. Step 2: Convert to fraction form
    12,922.96/17,835.78 = 7,888/x
  3. Step 3: Cross multiply
    12,922.96x = 17,835.78 × 7,888
  4. Step 4: Simplify right side
    12,922.96x = 140,688,632.64
  5. Step 5: Solve for x
    x = 140,688,632.64/12,922.96
  6. Step 6: Final answer
    x = 10,886.72

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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.