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Finding the Fourth Proportional to 16,384.36, 22,598.22 and 12,840.52

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Solution

The fourth proportional to 16,384.36, 22,598.22 and 12,840.52 is: 17,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.36 : 22,598.22 = 12,840.52 : x
  2. Step 2: Convert to fraction form
    16,384.36/22,598.22 = 12,840.52/x
  3. Step 3: Cross multiply
    16,384.36x = 22,598.22 × 12,840.52
  4. Step 4: Simplify right side
    16,384.36x = 290,172,895.87
  5. Step 5: Solve for x
    x = 290,172,895.87/16,384.36
  6. Step 6: Final answer
    x = 17,710.36

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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.