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Finding the Fourth Proportional to 22,100.64, 33,094.64 and 21,444

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Solution

The fourth proportional to 22,100.64, 33,094.64 and 21,444 is: 32,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100.64 : 33,094.64 = 21,444 : x
  2. Step 2: Convert to fraction form
    22,100.64/33,094.64 = 21,444/x
  3. Step 3: Cross multiply
    22,100.64x = 33,094.64 × 21,444
  4. Step 4: Simplify right side
    22,100.64x = 709,681,460.16
  5. Step 5: Solve for x
    x = 709,681,460.16/22,100.64
  6. Step 6: Final answer
    x = 32,111.35

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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.