Home / 16,315.90-24,470.16-7,546

Finding the Fourth Proportional to 16,315.90, 24,470.16 and 7,546

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Solution

The fourth proportional to 16,315.90, 24,470.16 and 7,546 is: 11,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.90 : 24,470.16 = 7,546 : x
  2. Step 2: Convert to fraction form
    16,315.90/24,470.16 = 7,546/x
  3. Step 3: Cross multiply
    16,315.90x = 24,470.16 × 7,546
  4. Step 4: Simplify right side
    16,315.90x = 184,651,827.36
  5. Step 5: Solve for x
    x = 184,651,827.36/16,315.90
  6. Step 6: Final answer
    x = 11,317.29

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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.