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Finding the Fourth Proportional to 23,584.16, 35,368.48 and 12,484.64

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Solution

The fourth proportional to 23,584.16, 35,368.48 and 12,484.64 is: 18,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.16 : 35,368.48 = 12,484.64 : x
  2. Step 2: Convert to fraction form
    23,584.16/35,368.48 = 12,484.64/x
  3. Step 3: Cross multiply
    23,584.16x = 35,368.48 × 12,484.64
  4. Step 4: Simplify right side
    23,584.16x = 441,562,740.15
  5. Step 5: Solve for x
    x = 441,562,740.15/23,584.16
  6. Step 6: Final answer
    x = 18,722.85

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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.