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Finding the Fourth Proportional to 23,772.67, 32,806.80 and 13,018.00

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Solution

The fourth proportional to 23,772.67, 32,806.80 and 13,018.00 is: 17,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.67 : 32,806.80 = 13,018.00 : x
  2. Step 2: Convert to fraction form
    23,772.67/32,806.80 = 13,018.00/x
  3. Step 3: Cross multiply
    23,772.67x = 32,806.80 × 13,018.00
  4. Step 4: Simplify right side
    23,772.67x = 427,078,807.84
  5. Step 5: Solve for x
    x = 427,078,807.84/23,772.67
  6. Step 6: Final answer
    x = 17,965.12

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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.