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Finding the Fourth Proportional to 19,058.83, 28,598 and 9,074.87

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Solution

The fourth proportional to 19,058.83, 28,598 and 9,074.87 is: 13,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,058.83 : 28,598 = 9,074.87 : x
  2. Step 2: Convert to fraction form
    19,058.83/28,598 = 9,074.87/x
  3. Step 3: Cross multiply
    19,058.83x = 28,598 × 9,074.87
  4. Step 4: Simplify right side
    19,058.83x = 259,523,132.26
  5. Step 5: Solve for x
    x = 259,523,132.26/19,058.83
  6. Step 6: Final answer
    x = 13,616.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.