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Finding the Fourth Proportional to 24,417.64, 36,601.77 and 9,620.80

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Solution

The fourth proportional to 24,417.64, 36,601.77 and 9,620.80 is: 14,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.64 : 36,601.77 = 9,620.80 : x
  2. Step 2: Convert to fraction form
    24,417.64/36,601.77 = 9,620.80/x
  3. Step 3: Cross multiply
    24,417.64x = 36,601.77 × 9,620.80
  4. Step 4: Simplify right side
    24,417.64x = 352,138,308.82
  5. Step 5: Solve for x
    x = 352,138,308.82/24,417.64
  6. Step 6: Final answer
    x = 14,421.47

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