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Finding the Fourth Proportional to 16,526.54, 22,812.69 and 12,073.16

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Solution

The fourth proportional to 16,526.54, 22,812.69 and 12,073.16 is: 16,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.54 : 22,812.69 = 12,073.16 : x
  2. Step 2: Convert to fraction form
    16,526.54/22,812.69 = 12,073.16/x
  3. Step 3: Cross multiply
    16,526.54x = 22,812.69 × 12,073.16
  4. Step 4: Simplify right side
    16,526.54x = 275,421,142.34
  5. Step 5: Solve for x
    x = 275,421,142.34/16,526.54
  6. Step 6: Final answer
    x = 16,665.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.