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Finding the Fourth Proportional to 24,308, 33,545.07 and 13,130

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Solution

The fourth proportional to 24,308, 33,545.07 and 13,130 is: 18,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308 : 33,545.07 = 13,130 : x
  2. Step 2: Convert to fraction form
    24,308/33,545.07 = 13,130/x
  3. Step 3: Cross multiply
    24,308x = 33,545.07 × 13,130
  4. Step 4: Simplify right side
    24,308x = 440,446,769.10
  5. Step 5: Solve for x
    x = 440,446,769.10/24,308
  6. Step 6: Final answer
    x = 18,119.42

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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.