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Finding the Fourth Proportional to 15,812.33, 23,711.54 and 8,415.03

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Solution

The fourth proportional to 15,812.33, 23,711.54 and 8,415.03 is: 12,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.33 : 23,711.54 = 8,415.03 : x
  2. Step 2: Convert to fraction form
    15,812.33/23,711.54 = 8,415.03/x
  3. Step 3: Cross multiply
    15,812.33x = 23,711.54 × 8,415.03
  4. Step 4: Simplify right side
    15,812.33x = 199,533,341.48
  5. Step 5: Solve for x
    x = 199,533,341.48/15,812.33
  6. Step 6: Final answer
    x = 12,618.84

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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.