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Finding the Fourth Proportional to 24,509.60, 36,735.60 and 12,816.80

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Solution

The fourth proportional to 24,509.60, 36,735.60 and 12,816.80 is: 19,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.60 : 36,735.60 = 12,816.80 : x
  2. Step 2: Convert to fraction form
    24,509.60/36,735.60 = 12,816.80/x
  3. Step 3: Cross multiply
    24,509.60x = 36,735.60 × 12,816.80
  4. Step 4: Simplify right side
    24,509.60x = 470,832,838.08
  5. Step 5: Solve for x
    x = 470,832,838.08/24,509.60
  6. Step 6: Final answer
    x = 19,210.14

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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.