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Finding the Fourth Proportional to 24,289.54, 36,398.86 and 10,764.40

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Solution

The fourth proportional to 24,289.54, 36,398.86 and 10,764.40 is: 16,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.54 : 36,398.86 = 10,764.40 : x
  2. Step 2: Convert to fraction form
    24,289.54/36,398.86 = 10,764.40/x
  3. Step 3: Cross multiply
    24,289.54x = 36,398.86 × 10,764.40
  4. Step 4: Simplify right side
    24,289.54x = 391,811,888.58
  5. Step 5: Solve for x
    x = 391,811,888.58/24,289.54
  6. Step 6: Final answer
    x = 16,130.89

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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.