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Finding the Fourth Proportional to 23,706.32, 35,564.64 and 8,124.32

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Solution

The fourth proportional to 23,706.32, 35,564.64 and 8,124.32 is: 12,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.32 : 35,564.64 = 8,124.32 : x
  2. Step 2: Convert to fraction form
    23,706.32/35,564.64 = 8,124.32/x
  3. Step 3: Cross multiply
    23,706.32x = 35,564.64 × 8,124.32
  4. Step 4: Simplify right side
    23,706.32x = 288,938,516.04
  5. Step 5: Solve for x
    x = 288,938,516.04/23,706.32
  6. Step 6: Final answer
    x = 12,188.25

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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.