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Finding the Fourth Proportional to 14,058.50, 21,088.44 and 5,736.96

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Solution

The fourth proportional to 14,058.50, 21,088.44 and 5,736.96 is: 8,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.50 : 21,088.44 = 5,736.96 : x
  2. Step 2: Convert to fraction form
    14,058.50/21,088.44 = 5,736.96/x
  3. Step 3: Cross multiply
    14,058.50x = 21,088.44 × 5,736.96
  4. Step 4: Simplify right side
    14,058.50x = 120,983,536.74
  5. Step 5: Solve for x
    x = 120,983,536.74/14,058.50
  6. Step 6: Final answer
    x = 8,605.72

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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.