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Finding the Fourth Proportional to 21,602.25, 32,356.40 and 10,485.50

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Solution

The fourth proportional to 21,602.25, 32,356.40 and 10,485.50 is: 15,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.25 : 32,356.40 = 10,485.50 : x
  2. Step 2: Convert to fraction form
    21,602.25/32,356.40 = 10,485.50/x
  3. Step 3: Cross multiply
    21,602.25x = 32,356.40 × 10,485.50
  4. Step 4: Simplify right side
    21,602.25x = 339,272,817.99
  5. Step 5: Solve for x
    x = 339,272,817.99/21,602.25
  6. Step 6: Final answer
    x = 15,705.44

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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.