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Finding the Fourth Proportional to 16,003, 24,002.88 and 4,317.40

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Solution

The fourth proportional to 16,003, 24,002.88 and 4,317.40 is: 6,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003 : 24,002.88 = 4,317.40 : x
  2. Step 2: Convert to fraction form
    16,003/24,002.88 = 4,317.40/x
  3. Step 3: Cross multiply
    16,003x = 24,002.88 × 4,317.40
  4. Step 4: Simplify right side
    16,003x = 103,630,034.11
  5. Step 5: Solve for x
    x = 103,630,034.11/16,003
  6. Step 6: Final answer
    x = 6,475.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.