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Finding the Fourth Proportional to 23,527.81, 32,466.78 and 12,918.13

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Solution

The fourth proportional to 23,527.81, 32,466.78 and 12,918.13 is: 17,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.81 : 32,466.78 = 12,918.13 : x
  2. Step 2: Convert to fraction form
    23,527.81/32,466.78 = 12,918.13/x
  3. Step 3: Cross multiply
    23,527.81x = 32,466.78 × 12,918.13
  4. Step 4: Simplify right side
    23,527.81x = 419,410,084.72
  5. Step 5: Solve for x
    x = 419,410,084.72/23,527.81
  6. Step 6: Final answer
    x = 17,826.14

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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.