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Finding the Fourth Proportional to 17,528.21, 26,300.02 and 9,206.30

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Solution

The fourth proportional to 17,528.21, 26,300.02 and 9,206.30 is: 13,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528.21 : 26,300.02 = 9,206.30 : x
  2. Step 2: Convert to fraction form
    17,528.21/26,300.02 = 9,206.30/x
  3. Step 3: Cross multiply
    17,528.21x = 26,300.02 × 9,206.30
  4. Step 4: Simplify right side
    17,528.21x = 242,125,874.13
  5. Step 5: Solve for x
    x = 242,125,874.13/17,528.21
  6. Step 6: Final answer
    x = 13,813.50

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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.