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Finding the Fourth Proportional to 23,205.98, 32,023.40 and 12,595.39

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Solution

The fourth proportional to 23,205.98, 32,023.40 and 12,595.39 is: 17,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.98 : 32,023.40 = 12,595.39 : x
  2. Step 2: Convert to fraction form
    23,205.98/32,023.40 = 12,595.39/x
  3. Step 3: Cross multiply
    23,205.98x = 32,023.40 × 12,595.39
  4. Step 4: Simplify right side
    23,205.98x = 403,346,989.03
  5. Step 5: Solve for x
    x = 403,346,989.03/23,205.98
  6. Step 6: Final answer
    x = 17,381.17

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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.