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Finding the Fourth Proportional to 16,303.80, 24,485.40 and 9,742.80

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Solution

The fourth proportional to 16,303.80, 24,485.40 and 9,742.80 is: 14,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.80 : 24,485.40 = 9,742.80 : x
  2. Step 2: Convert to fraction form
    16,303.80/24,485.40 = 9,742.80/x
  3. Step 3: Cross multiply
    16,303.80x = 24,485.40 × 9,742.80
  4. Step 4: Simplify right side
    16,303.80x = 238,556,355.12
  5. Step 5: Solve for x
    x = 238,556,355.12/16,303.80
  6. Step 6: Final answer
    x = 14,631.95

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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.