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Finding the Fourth Proportional to 13,058.72, 19,590 and 4,739.36

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Solution

The fourth proportional to 13,058.72, 19,590 and 4,739.36 is: 7,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.72 : 19,590 = 4,739.36 : x
  2. Step 2: Convert to fraction form
    13,058.72/19,590 = 4,739.36/x
  3. Step 3: Cross multiply
    13,058.72x = 19,590 × 4,739.36
  4. Step 4: Simplify right side
    13,058.72x = 92,844,062.40
  5. Step 5: Solve for x
    x = 92,844,062.40/13,058.72
  6. Step 6: Final answer
    x = 7,109.74

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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.