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Finding the Fourth Proportional to 21,958.17, 32,970.06 and 21,630.12

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Solution

The fourth proportional to 21,958.17, 32,970.06 and 21,630.12 is: 32,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,958.17 : 32,970.06 = 21,630.12 : x
  2. Step 2: Convert to fraction form
    21,958.17/32,970.06 = 21,630.12/x
  3. Step 3: Cross multiply
    21,958.17x = 32,970.06 × 21,630.12
  4. Step 4: Simplify right side
    21,958.17x = 713,146,354.21
  5. Step 5: Solve for x
    x = 713,146,354.21/21,958.17
  6. Step 6: Final answer
    x = 32,477.49

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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.