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Finding the Fourth Proportional to 16,507, 22,768.98 and 9,787.72

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Solution

The fourth proportional to 16,507, 22,768.98 and 9,787.72 is: 13,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507 : 22,768.98 = 9,787.72 : x
  2. Step 2: Convert to fraction form
    16,507/22,768.98 = 9,787.72/x
  3. Step 3: Cross multiply
    16,507x = 22,768.98 × 9,787.72
  4. Step 4: Simplify right side
    16,507x = 222,856,400.93
  5. Step 5: Solve for x
    x = 222,856,400.93/16,507
  6. Step 6: Final answer
    x = 13,500.72

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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.