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Finding the Fourth Proportional to 12,706.93, 19,054.37 and 4,699.10

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Solution

The fourth proportional to 12,706.93, 19,054.37 and 4,699.10 is: 7,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.93 : 19,054.37 = 4,699.10 : x
  2. Step 2: Convert to fraction form
    12,706.93/19,054.37 = 4,699.10/x
  3. Step 3: Cross multiply
    12,706.93x = 19,054.37 × 4,699.10
  4. Step 4: Simplify right side
    12,706.93x = 89,538,390.07
  5. Step 5: Solve for x
    x = 89,538,390.07/12,706.93
  6. Step 6: Final answer
    x = 7,046.42

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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.