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Finding the Fourth Proportional to 23,595.50, 32,561.78 and 12,985.14

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Solution

The fourth proportional to 23,595.50, 32,561.78 and 12,985.14 is: 17,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.50 : 32,561.78 = 12,985.14 : x
  2. Step 2: Convert to fraction form
    23,595.50/32,561.78 = 12,985.14/x
  3. Step 3: Cross multiply
    23,595.50x = 32,561.78 × 12,985.14
  4. Step 4: Simplify right side
    23,595.50x = 422,819,329.13
  5. Step 5: Solve for x
    x = 422,819,329.13/23,595.50
  6. Step 6: Final answer
    x = 17,919.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.