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Finding the Fourth Proportional to 20,568.63, 30,852.95 and 7,421.00

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Solution

The fourth proportional to 20,568.63, 30,852.95 and 7,421.00 is: 11,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.63 : 30,852.95 = 7,421.00 : x
  2. Step 2: Convert to fraction form
    20,568.63/30,852.95 = 7,421.00/x
  3. Step 3: Cross multiply
    20,568.63x = 30,852.95 × 7,421.00
  4. Step 4: Simplify right side
    20,568.63x = 228,959,664.82
  5. Step 5: Solve for x
    x = 228,959,664.82/20,568.63
  6. Step 6: Final answer
    x = 11,131.50

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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.