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Finding the Fourth Proportional to 16,756.76, 23,123.71 and 9,202.84

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Solution

The fourth proportional to 16,756.76, 23,123.71 and 9,202.84 is: 12,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,756.76 : 23,123.71 = 9,202.84 : x
  2. Step 2: Convert to fraction form
    16,756.76/23,123.71 = 9,202.84/x
  3. Step 3: Cross multiply
    16,756.76x = 23,123.71 × 9,202.84
  4. Step 4: Simplify right side
    16,756.76x = 212,803,803.34
  5. Step 5: Solve for x
    x = 212,803,803.34/16,756.76
  6. Step 6: Final answer
    x = 12,699.58

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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.