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Finding the Fourth Proportional to 24,509.44, 33,830.72 and 14,437.20

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Solution

The fourth proportional to 24,509.44, 33,830.72 and 14,437.20 is: 19,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.44 : 33,830.72 = 14,437.20 : x
  2. Step 2: Convert to fraction form
    24,509.44/33,830.72 = 14,437.20/x
  3. Step 3: Cross multiply
    24,509.44x = 33,830.72 × 14,437.20
  4. Step 4: Simplify right side
    24,509.44x = 488,420,870.78
  5. Step 5: Solve for x
    x = 488,420,870.78/24,509.44
  6. Step 6: Final answer
    x = 19,927.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.