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Finding the Fourth Proportional to 16,339.29, 24,509.84 and 4,651.59

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Solution

The fourth proportional to 16,339.29, 24,509.84 and 4,651.59 is: 6,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.29 : 24,509.84 = 4,651.59 : x
  2. Step 2: Convert to fraction form
    16,339.29/24,509.84 = 4,651.59/x
  3. Step 3: Cross multiply
    16,339.29x = 24,509.84 × 4,651.59
  4. Step 4: Simplify right side
    16,339.29x = 114,009,821.46
  5. Step 5: Solve for x
    x = 114,009,821.46/16,339.29
  6. Step 6: Final answer
    x = 6,977.65

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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.