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Finding the Fourth Proportional to 16,389.99, 24,585 and 7,023.93

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Solution

The fourth proportional to 16,389.99, 24,585 and 7,023.93 is: 10,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.99 : 24,585 = 7,023.93 : x
  2. Step 2: Convert to fraction form
    16,389.99/24,585 = 7,023.93/x
  3. Step 3: Cross multiply
    16,389.99x = 24,585 × 7,023.93
  4. Step 4: Simplify right side
    16,389.99x = 172,683,319.05
  5. Step 5: Solve for x
    x = 172,683,319.05/16,389.99
  6. Step 6: Final answer
    x = 10,535.90

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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.