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Finding the Fourth Proportional to 34,084.39, 51,147.89 and 13,026.23

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Solution

The fourth proportional to 34,084.39, 51,147.89 and 13,026.23 is: 19,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,084.39 : 51,147.89 = 13,026.23 : x
  2. Step 2: Convert to fraction form
    34,084.39/51,147.89 = 13,026.23/x
  3. Step 3: Cross multiply
    34,084.39x = 51,147.89 × 13,026.23
  4. Step 4: Simplify right side
    34,084.39x = 666,264,179.15
  5. Step 5: Solve for x
    x = 666,264,179.15/34,084.39
  6. Step 6: Final answer
    x = 19,547.49

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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.