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Finding the Fourth Proportional to 16,509.30, 22,756.59 and 12,966.36

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Solution

The fourth proportional to 16,509.30, 22,756.59 and 12,966.36 is: 17,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.30 : 22,756.59 = 12,966.36 : x
  2. Step 2: Convert to fraction form
    16,509.30/22,756.59 = 12,966.36/x
  3. Step 3: Cross multiply
    16,509.30x = 22,756.59 × 12,966.36
  4. Step 4: Simplify right side
    16,509.30x = 295,070,138.31
  5. Step 5: Solve for x
    x = 295,070,138.31/16,509.30
  6. Step 6: Final answer
    x = 17,872.96

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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.