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Finding the Fourth Proportional to 16,540, 22,835.76 and 11,502.40

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Solution

The fourth proportional to 16,540, 22,835.76 and 11,502.40 is: 15,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540 : 22,835.76 = 11,502.40 : x
  2. Step 2: Convert to fraction form
    16,540/22,835.76 = 11,502.40/x
  3. Step 3: Cross multiply
    16,540x = 22,835.76 × 11,502.40
  4. Step 4: Simplify right side
    16,540x = 262,666,045.82
  5. Step 5: Solve for x
    x = 262,666,045.82/16,540
  6. Step 6: Final answer
    x = 15,880.66

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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.