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Finding the Fourth Proportional to 23,598, 32,564.85 and 12,987.42

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Solution

The fourth proportional to 23,598, 32,564.85 and 12,987.42 is: 17,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 32,564.85 = 12,987.42 : x
  2. Step 2: Convert to fraction form
    23,598/32,564.85 = 12,987.42/x
  3. Step 3: Cross multiply
    23,598x = 32,564.85 × 12,987.42
  4. Step 4: Simplify right side
    23,598x = 422,933,384.19
  5. Step 5: Solve for x
    x = 422,933,384.19/23,598
  6. Step 6: Final answer
    x = 17,922.42

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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.