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Finding the Fourth Proportional to 14,975.70, 20,673.11 and 9,673.10

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Solution

The fourth proportional to 14,975.70, 20,673.11 and 9,673.10 is: 13,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975.70 : 20,673.11 = 9,673.10 : x
  2. Step 2: Convert to fraction form
    14,975.70/20,673.11 = 9,673.10/x
  3. Step 3: Cross multiply
    14,975.70x = 20,673.11 × 9,673.10
  4. Step 4: Simplify right side
    14,975.70x = 199,973,060.34
  5. Step 5: Solve for x
    x = 199,973,060.34/14,975.70
  6. Step 6: Final answer
    x = 13,353.17

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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.