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Finding the Fourth Proportional to 21,501.36, 29,675.88 and 13,538.16

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Solution

The fourth proportional to 21,501.36, 29,675.88 and 13,538.16 is: 18,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.36 : 29,675.88 = 13,538.16 : x
  2. Step 2: Convert to fraction form
    21,501.36/29,675.88 = 13,538.16/x
  3. Step 3: Cross multiply
    21,501.36x = 29,675.88 × 13,538.16
  4. Step 4: Simplify right side
    21,501.36x = 401,756,811.58
  5. Step 5: Solve for x
    x = 401,756,811.58/21,501.36
  6. Step 6: Final answer
    x = 18,685.18

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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.