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Finding the Fourth Proportional to 16,637.56, 22,960.10 and 9,084.20

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Solution

The fourth proportional to 16,637.56, 22,960.10 and 9,084.20 is: 12,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,637.56 : 22,960.10 = 9,084.20 : x
  2. Step 2: Convert to fraction form
    16,637.56/22,960.10 = 9,084.20/x
  3. Step 3: Cross multiply
    16,637.56x = 22,960.10 × 9,084.20
  4. Step 4: Simplify right side
    16,637.56x = 208,574,140.42
  5. Step 5: Solve for x
    x = 208,574,140.42/16,637.56
  6. Step 6: Final answer
    x = 12,536.34

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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.