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Finding the Fourth Proportional to 23,577.84, 32,539.64 and 13,504.28

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Solution

The fourth proportional to 23,577.84, 32,539.64 and 13,504.28 is: 18,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.84 : 32,539.64 = 13,504.28 : x
  2. Step 2: Convert to fraction form
    23,577.84/32,539.64 = 13,504.28/x
  3. Step 3: Cross multiply
    23,577.84x = 32,539.64 × 13,504.28
  4. Step 4: Simplify right side
    23,577.84x = 439,424,409.66
  5. Step 5: Solve for x
    x = 439,424,409.66/23,577.84
  6. Step 6: Final answer
    x = 18,637.18

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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.