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Finding the Fourth Proportional to 14,594.86, 21,895.37 and 4,733.37

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Solution

The fourth proportional to 14,594.86, 21,895.37 and 4,733.37 is: 7,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.86 : 21,895.37 = 4,733.37 : x
  2. Step 2: Convert to fraction form
    14,594.86/21,895.37 = 4,733.37/x
  3. Step 3: Cross multiply
    14,594.86x = 21,895.37 × 4,733.37
  4. Step 4: Simplify right side
    14,594.86x = 103,638,863.83
  5. Step 5: Solve for x
    x = 103,638,863.83/14,594.86
  6. Step 6: Final answer
    x = 7,101.05

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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.