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Finding the Fourth Proportional to 24,216.64, 36,300.48 and 9,416.32

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Solution

The fourth proportional to 24,216.64, 36,300.48 and 9,416.32 is: 14,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216.64 : 36,300.48 = 9,416.32 : x
  2. Step 2: Convert to fraction form
    24,216.64/36,300.48 = 9,416.32/x
  3. Step 3: Cross multiply
    24,216.64x = 36,300.48 × 9,416.32
  4. Step 4: Simplify right side
    24,216.64x = 341,816,935.83
  5. Step 5: Solve for x
    x = 341,816,935.83/24,216.64
  6. Step 6: Final answer
    x = 14,114.96

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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.