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Finding the Fourth Proportional to 16,206.98, 22,368.84 and 10,235.66

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Solution

The fourth proportional to 16,206.98, 22,368.84 and 10,235.66 is: 14,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.98 : 22,368.84 = 10,235.66 : x
  2. Step 2: Convert to fraction form
    16,206.98/22,368.84 = 10,235.66/x
  3. Step 3: Cross multiply
    16,206.98x = 22,368.84 × 10,235.66
  4. Step 4: Simplify right side
    16,206.98x = 228,959,840.83
  5. Step 5: Solve for x
    x = 228,959,840.83/16,206.98
  6. Step 6: Final answer
    x = 14,127.24

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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.