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Finding the Fourth Proportional to 16,196.48, 22,343.50 and 9,477.98

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Solution

The fourth proportional to 16,196.48, 22,343.50 and 9,477.98 is: 13,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.48 : 22,343.50 = 9,477.98 : x
  2. Step 2: Convert to fraction form
    16,196.48/22,343.50 = 9,477.98/x
  3. Step 3: Cross multiply
    16,196.48x = 22,343.50 × 9,477.98
  4. Step 4: Simplify right side
    16,196.48x = 211,771,222.44
  5. Step 5: Solve for x
    x = 211,771,222.44/16,196.48
  6. Step 6: Final answer
    x = 13,075.14

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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.