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Finding the Fourth Proportional to 16,443.48, 24,671.70 and 7,203

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Solution

The fourth proportional to 16,443.48, 24,671.70 and 7,203 is: 10,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.48 : 24,671.70 = 7,203 : x
  2. Step 2: Convert to fraction form
    16,443.48/24,671.70 = 7,203/x
  3. Step 3: Cross multiply
    16,443.48x = 24,671.70 × 7,203
  4. Step 4: Simplify right side
    16,443.48x = 177,710,255.10
  5. Step 5: Solve for x
    x = 177,710,255.10/16,443.48
  6. Step 6: Final answer
    x = 10,807.34

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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.