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Finding the Fourth Proportional to 23,595.75, 32,562.11 and 12,985.38

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Solution

The fourth proportional to 23,595.75, 32,562.11 and 12,985.38 is: 17,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.75 : 32,562.11 = 12,985.38 : x
  2. Step 2: Convert to fraction form
    23,595.75/32,562.11 = 12,985.38/x
  3. Step 3: Cross multiply
    23,595.75x = 32,562.11 × 12,985.38
  4. Step 4: Simplify right side
    23,595.75x = 422,831,307.02
  5. Step 5: Solve for x
    x = 422,831,307.02/23,595.75
  6. Step 6: Final answer
    x = 17,919.81

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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.