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Finding the Fourth Proportional to 16,054.40, 24,065.40 and 9,477.20

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Solution

The fourth proportional to 16,054.40, 24,065.40 and 9,477.20 is: 14,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.40 : 24,065.40 = 9,477.20 : x
  2. Step 2: Convert to fraction form
    16,054.40/24,065.40 = 9,477.20/x
  3. Step 3: Cross multiply
    16,054.40x = 24,065.40 × 9,477.20
  4. Step 4: Simplify right side
    16,054.40x = 228,072,608.88
  5. Step 5: Solve for x
    x = 228,072,608.88/16,054.40
  6. Step 6: Final answer
    x = 14,206.24

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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.