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Finding the Fourth Proportional to 16,321, 24,483.24 and 5,223.72

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Solution

The fourth proportional to 16,321, 24,483.24 and 5,223.72 is: 7,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321 : 24,483.24 = 5,223.72 : x
  2. Step 2: Convert to fraction form
    16,321/24,483.24 = 5,223.72/x
  3. Step 3: Cross multiply
    16,321x = 24,483.24 × 5,223.72
  4. Step 4: Simplify right side
    16,321x = 127,893,590.45
  5. Step 5: Solve for x
    x = 127,893,590.45/16,321
  6. Step 6: Final answer
    x = 7,836.14

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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.