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Finding the Fourth Proportional to 14,625.91, 21,941.14 and 4,762.90

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Solution

The fourth proportional to 14,625.91, 21,941.14 and 4,762.90 is: 7,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.91 : 21,941.14 = 4,762.90 : x
  2. Step 2: Convert to fraction form
    14,625.91/21,941.14 = 4,762.90/x
  3. Step 3: Cross multiply
    14,625.91x = 21,941.14 × 4,762.90
  4. Step 4: Simplify right side
    14,625.91x = 104,503,346.00
  5. Step 5: Solve for x
    x = 104,503,346.00/14,625.91
  6. Step 6: Final answer
    x = 7,145.08

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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.