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Finding the Fourth Proportional to 23,806.56, 32,852.52 and 13,196.10

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Solution

The fourth proportional to 23,806.56, 32,852.52 and 13,196.10 is: 18,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.56 : 32,852.52 = 13,196.10 : x
  2. Step 2: Convert to fraction form
    23,806.56/32,852.52 = 13,196.10/x
  3. Step 3: Cross multiply
    23,806.56x = 32,852.52 × 13,196.10
  4. Step 4: Simplify right side
    23,806.56x = 433,525,139.17
  5. Step 5: Solve for x
    x = 433,525,139.17/23,806.56
  6. Step 6: Final answer
    x = 18,210.32

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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.