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Finding the Fourth Proportional to 21,384.41, 29,510.53 and 11,824.99

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Solution

The fourth proportional to 21,384.41, 29,510.53 and 11,824.99 is: 16,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.41 : 29,510.53 = 11,824.99 : x
  2. Step 2: Convert to fraction form
    21,384.41/29,510.53 = 11,824.99/x
  3. Step 3: Cross multiply
    21,384.41x = 29,510.53 × 11,824.99
  4. Step 4: Simplify right side
    21,384.41x = 348,961,618.81
  5. Step 5: Solve for x
    x = 348,961,618.81/21,384.41
  6. Step 6: Final answer
    x = 16,318.51

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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.