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Finding the Fourth Proportional to 12,902.74, 19,328.19 and 7,705.78

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Solution

The fourth proportional to 12,902.74, 19,328.19 and 7,705.78 is: 11,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.74 : 19,328.19 = 7,705.78 : x
  2. Step 2: Convert to fraction form
    12,902.74/19,328.19 = 7,705.78/x
  3. Step 3: Cross multiply
    12,902.74x = 19,328.19 × 7,705.78
  4. Step 4: Simplify right side
    12,902.74x = 148,938,779.94
  5. Step 5: Solve for x
    x = 148,938,779.94/12,902.74
  6. Step 6: Final answer
    x = 11,543.19

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