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Finding the Fourth Proportional to 14,703.44, 22,058.16 and 8,546

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Solution

The fourth proportional to 14,703.44, 22,058.16 and 8,546 is: 12,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,703.44 : 22,058.16 = 8,546 : x
  2. Step 2: Convert to fraction form
    14,703.44/22,058.16 = 8,546/x
  3. Step 3: Cross multiply
    14,703.44x = 22,058.16 × 8,546
  4. Step 4: Simplify right side
    14,703.44x = 188,509,035.36
  5. Step 5: Solve for x
    x = 188,509,035.36/14,703.44
  6. Step 6: Final answer
    x = 12,820.74

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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.