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Finding the Fourth Proportional to 23,576.80, 32,534.40 and 13,505.28

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Solution

The fourth proportional to 23,576.80, 32,534.40 and 13,505.28 is: 18,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.80 : 32,534.40 = 13,505.28 : x
  2. Step 2: Convert to fraction form
    23,576.80/32,534.40 = 13,505.28/x
  3. Step 3: Cross multiply
    23,576.80x = 32,534.40 × 13,505.28
  4. Step 4: Simplify right side
    23,576.80x = 439,386,181.63
  5. Step 5: Solve for x
    x = 439,386,181.63/23,576.80
  6. Step 6: Final answer
    x = 18,636.38

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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.