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Finding the Fourth Proportional to 21,510, 29,670.93 and 13,538.39

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Solution

The fourth proportional to 21,510, 29,670.93 and 13,538.39 is: 18,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510 : 29,670.93 = 13,538.39 : x
  2. Step 2: Convert to fraction form
    21,510/29,670.93 = 13,538.39/x
  3. Step 3: Cross multiply
    21,510x = 29,670.93 × 13,538.39
  4. Step 4: Simplify right side
    21,510x = 401,696,473.65
  5. Step 5: Solve for x
    x = 401,696,473.65/21,510
  6. Step 6: Final answer
    x = 18,674.87

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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.