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Finding the Fourth Proportional to 23,575.67, 32,534.83 and 13,505.00

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Solution

The fourth proportional to 23,575.67, 32,534.83 and 13,505.00 is: 18,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,575.67 : 32,534.83 = 13,505.00 : x
  2. Step 2: Convert to fraction form
    23,575.67/32,534.83 = 13,505.00/x
  3. Step 3: Cross multiply
    23,575.67x = 32,534.83 × 13,505.00
  4. Step 4: Simplify right side
    23,575.67x = 439,382,676.38
  5. Step 5: Solve for x
    x = 439,382,676.38/23,575.67
  6. Step 6: Final answer
    x = 18,637.12

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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.