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Finding the Fourth Proportional to 25,735, 38,667.04 and 16,379.06

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Solution

The fourth proportional to 25,735, 38,667.04 and 16,379.06 is: 24,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735 : 38,667.04 = 16,379.06 : x
  2. Step 2: Convert to fraction form
    25,735/38,667.04 = 16,379.06/x
  3. Step 3: Cross multiply
    25,735x = 38,667.04 × 16,379.06
  4. Step 4: Simplify right side
    25,735x = 633,329,768.18
  5. Step 5: Solve for x
    x = 633,329,768.18/25,735
  6. Step 6: Final answer
    x = 24,609.67

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1.5x scale

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.