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Finding the Fourth Proportional to 16,756.78, 23,123.43 and 9,204.10

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Solution

The fourth proportional to 16,756.78, 23,123.43 and 9,204.10 is: 12,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,756.78 : 23,123.43 = 9,204.10 : x
  2. Step 2: Convert to fraction form
    16,756.78/23,123.43 = 9,204.10/x
  3. Step 3: Cross multiply
    16,756.78x = 23,123.43 × 9,204.10
  4. Step 4: Simplify right side
    16,756.78x = 212,830,362.06
  5. Step 5: Solve for x
    x = 212,830,362.06/16,756.78
  6. Step 6: Final answer
    x = 12,701.15

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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.