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Finding the Fourth Proportional to 28,164.68, 42,207.54 and 21,896

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Solution

The fourth proportional to 28,164.68, 42,207.54 and 21,896 is: 32,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164.68 : 42,207.54 = 21,896 : x
  2. Step 2: Convert to fraction form
    28,164.68/42,207.54 = 21,896/x
  3. Step 3: Cross multiply
    28,164.68x = 42,207.54 × 21,896
  4. Step 4: Simplify right side
    28,164.68x = 924,176,295.84
  5. Step 5: Solve for x
    x = 924,176,295.84/28,164.68
  6. Step 6: Final answer
    x = 32,813.31

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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.