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Finding the Fourth Proportional to 24,594, 36,890.64 and 11,439

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Solution

The fourth proportional to 24,594, 36,890.64 and 11,439 is: 17,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594 : 36,890.64 = 11,439 : x
  2. Step 2: Convert to fraction form
    24,594/36,890.64 = 11,439/x
  3. Step 3: Cross multiply
    24,594x = 36,890.64 × 11,439
  4. Step 4: Simplify right side
    24,594x = 421,992,030.96
  5. Step 5: Solve for x
    x = 421,992,030.96/24,594
  6. Step 6: Final answer
    x = 17,158.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.