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Finding the Fourth Proportional to 14,625.76, 21,933.96 and 4,762.68

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Solution

The fourth proportional to 14,625.76, 21,933.96 and 4,762.68 is: 7,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.76 : 21,933.96 = 4,762.68 : x
  2. Step 2: Convert to fraction form
    14,625.76/21,933.96 = 4,762.68/x
  3. Step 3: Cross multiply
    14,625.76x = 21,933.96 × 4,762.68
  4. Step 4: Simplify right side
    14,625.76x = 104,464,432.61
  5. Step 5: Solve for x
    x = 104,464,432.61/14,625.76
  6. Step 6: Final answer
    x = 7,142.50

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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.