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Finding the Fourth Proportional to 12,858.42, 19,273.59 and 5,058.66

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Solution

The fourth proportional to 12,858.42, 19,273.59 and 5,058.66 is: 7,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.42 : 19,273.59 = 5,058.66 : x
  2. Step 2: Convert to fraction form
    12,858.42/19,273.59 = 5,058.66/x
  3. Step 3: Cross multiply
    12,858.42x = 19,273.59 × 5,058.66
  4. Step 4: Simplify right side
    12,858.42x = 97,498,538.79
  5. Step 5: Solve for x
    x = 97,498,538.79/12,858.42
  6. Step 6: Final answer
    x = 7,582.47

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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.