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Finding the Fourth Proportional to 15,384.94, 21,231.64 and 9,416.50

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Solution

The fourth proportional to 15,384.94, 21,231.64 and 9,416.50 is: 12,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.94 : 21,231.64 = 9,416.50 : x
  2. Step 2: Convert to fraction form
    15,384.94/21,231.64 = 9,416.50/x
  3. Step 3: Cross multiply
    15,384.94x = 21,231.64 × 9,416.50
  4. Step 4: Simplify right side
    15,384.94x = 199,927,738.06
  5. Step 5: Solve for x
    x = 199,927,738.06/15,384.94
  6. Step 6: Final answer
    x = 12,995.03

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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.