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Finding the Fourth Proportional to 16,447.60, 24,671.40 and 9,424.90

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Solution

The fourth proportional to 16,447.60, 24,671.40 and 9,424.90 is: 14,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.60 : 24,671.40 = 9,424.90 : x
  2. Step 2: Convert to fraction form
    16,447.60/24,671.40 = 9,424.90/x
  3. Step 3: Cross multiply
    16,447.60x = 24,671.40 × 9,424.90
  4. Step 4: Simplify right side
    16,447.60x = 232,525,477.86
  5. Step 5: Solve for x
    x = 232,525,477.86/16,447.60
  6. Step 6: Final answer
    x = 14,137.35

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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.