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Finding the Fourth Proportional to 15,774.40, 21,768.36 and 8,701

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Solution

The fourth proportional to 15,774.40, 21,768.36 and 8,701 is: 12,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.40 : 21,768.36 = 8,701 : x
  2. Step 2: Convert to fraction form
    15,774.40/21,768.36 = 8,701/x
  3. Step 3: Cross multiply
    15,774.40x = 21,768.36 × 8,701
  4. Step 4: Simplify right side
    15,774.40x = 189,406,500.36
  5. Step 5: Solve for x
    x = 189,406,500.36/15,774.40
  6. Step 6: Final answer
    x = 12,007.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.