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Finding the Fourth Proportional to 24,365.38, 36,533.03 and 9,567.59

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Solution

The fourth proportional to 24,365.38, 36,533.03 and 9,567.59 is: 14,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.38 : 36,533.03 = 9,567.59 : x
  2. Step 2: Convert to fraction form
    24,365.38/36,533.03 = 9,567.59/x
  3. Step 3: Cross multiply
    24,365.38x = 36,533.03 × 9,567.59
  4. Step 4: Simplify right side
    24,365.38x = 349,533,052.50
  5. Step 5: Solve for x
    x = 349,533,052.50/24,365.38
  6. Step 6: Final answer
    x = 14,345.48

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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.