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Finding the Fourth Proportional to 16,014.65, 24,015.29 and 7,692.71

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Solution

The fourth proportional to 16,014.65, 24,015.29 and 7,692.71 is: 11,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.65 : 24,015.29 = 7,692.71 : x
  2. Step 2: Convert to fraction form
    16,014.65/24,015.29 = 7,692.71/x
  3. Step 3: Cross multiply
    16,014.65x = 24,015.29 × 7,692.71
  4. Step 4: Simplify right side
    16,014.65x = 184,742,503.00
  5. Step 5: Solve for x
    x = 184,742,503.00/16,014.65
  6. Step 6: Final answer
    x = 11,535.85

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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.