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Finding the Fourth Proportional to 23,574.70, 32,534.50 and 12,965.14

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Solution

The fourth proportional to 23,574.70, 32,534.50 and 12,965.14 is: 17,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.70 : 32,534.50 = 12,965.14 : x
  2. Step 2: Convert to fraction form
    23,574.70/32,534.50 = 12,965.14/x
  3. Step 3: Cross multiply
    23,574.70x = 32,534.50 × 12,965.14
  4. Step 4: Simplify right side
    23,574.70x = 421,814,347.33
  5. Step 5: Solve for x
    x = 421,814,347.33/23,574.70
  6. Step 6: Final answer
    x = 17,892.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.