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Finding the Fourth Proportional to 13,281, 19,904.44 and 6,692.44

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Solution

The fourth proportional to 13,281, 19,904.44 and 6,692.44 is: 10,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281 : 19,904.44 = 6,692.44 : x
  2. Step 2: Convert to fraction form
    13,281/19,904.44 = 6,692.44/x
  3. Step 3: Cross multiply
    13,281x = 19,904.44 × 6,692.44
  4. Step 4: Simplify right side
    13,281x = 133,209,270.43
  5. Step 5: Solve for x
    x = 133,209,270.43/13,281
  6. Step 6: Final answer
    x = 10,030.06

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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.