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Finding the Fourth Proportional to 14,412.38, 19,905.48 and 9,688.46

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Solution

The fourth proportional to 14,412.38, 19,905.48 and 9,688.46 is: 13,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.38 : 19,905.48 = 9,688.46 : x
  2. Step 2: Convert to fraction form
    14,412.38/19,905.48 = 9,688.46/x
  3. Step 3: Cross multiply
    14,412.38x = 19,905.48 × 9,688.46
  4. Step 4: Simplify right side
    14,412.38x = 192,853,347.23
  5. Step 5: Solve for x
    x = 192,853,347.23/14,412.38
  6. Step 6: Final answer
    x = 13,381.09

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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.