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Finding the Fourth Proportional to 24,309, 33,545.58 and 13,698

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Solution

The fourth proportional to 24,309, 33,545.58 and 13,698 is: 18,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309 : 33,545.58 = 13,698 : x
  2. Step 2: Convert to fraction form
    24,309/33,545.58 = 13,698/x
  3. Step 3: Cross multiply
    24,309x = 33,545.58 × 13,698
  4. Step 4: Simplify right side
    24,309x = 459,507,354.84
  5. Step 5: Solve for x
    x = 459,507,354.84/24,309
  6. Step 6: Final answer
    x = 18,902.77

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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.