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Finding the Fourth Proportional to 21,877.40, 32,808 and 17,206.50

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Solution

The fourth proportional to 21,877.40, 32,808 and 17,206.50 is: 25,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.40 : 32,808 = 17,206.50 : x
  2. Step 2: Convert to fraction form
    21,877.40/32,808 = 17,206.50/x
  3. Step 3: Cross multiply
    21,877.40x = 32,808 × 17,206.50
  4. Step 4: Simplify right side
    21,877.40x = 564,510,852
  5. Step 5: Solve for x
    x = 564,510,852/21,877.40
  6. Step 6: Final answer
    x = 25,803.38

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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.