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Finding the Fourth Proportional to 23,638.32, 32,619.08 and 13,028

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Solution

The fourth proportional to 23,638.32, 32,619.08 and 13,028 is: 17,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.32 : 32,619.08 = 13,028 : x
  2. Step 2: Convert to fraction form
    23,638.32/32,619.08 = 13,028/x
  3. Step 3: Cross multiply
    23,638.32x = 32,619.08 × 13,028
  4. Step 4: Simplify right side
    23,638.32x = 424,961,374.24
  5. Step 5: Solve for x
    x = 424,961,374.24/23,638.32
  6. Step 6: Final answer
    x = 17,977.65

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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.