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Finding the Fourth Proportional to 23,643.64, 32,628.92 and 13,033.96

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Solution

The fourth proportional to 23,643.64, 32,628.92 and 13,033.96 is: 17,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.64 : 32,628.92 = 13,033.96 : x
  2. Step 2: Convert to fraction form
    23,643.64/32,628.92 = 13,033.96/x
  3. Step 3: Cross multiply
    23,643.64x = 32,628.92 × 13,033.96
  4. Step 4: Simplify right side
    23,643.64x = 425,284,038.12
  5. Step 5: Solve for x
    x = 425,284,038.12/23,643.64
  6. Step 6: Final answer
    x = 17,987.25

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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.