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Finding the Fourth Proportional to 15,684.80, 23,527.20 and 9,123.80

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Solution

The fourth proportional to 15,684.80, 23,527.20 and 9,123.80 is: 13,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.80 : 23,527.20 = 9,123.80 : x
  2. Step 2: Convert to fraction form
    15,684.80/23,527.20 = 9,123.80/x
  3. Step 3: Cross multiply
    15,684.80x = 23,527.20 × 9,123.80
  4. Step 4: Simplify right side
    15,684.80x = 214,657,467.36
  5. Step 5: Solve for x
    x = 214,657,467.36/15,684.80
  6. Step 6: Final answer
    x = 13,685.70

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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.