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Finding the Fourth Proportional to 21,528.84, 29,709.54 and 12,099

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Solution

The fourth proportional to 21,528.84, 29,709.54 and 12,099 is: 16,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528.84 : 29,709.54 = 12,099 : x
  2. Step 2: Convert to fraction form
    21,528.84/29,709.54 = 12,099/x
  3. Step 3: Cross multiply
    21,528.84x = 29,709.54 × 12,099
  4. Step 4: Simplify right side
    21,528.84x = 359,455,724.46
  5. Step 5: Solve for x
    x = 359,455,724.46/21,528.84
  6. Step 6: Final answer
    x = 16,696.47

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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.