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Finding the Fourth Proportional to 19,329.52, 28,984.92 and 9,457.24

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Solution

The fourth proportional to 19,329.52, 28,984.92 and 9,457.24 is: 14,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,329.52 : 28,984.92 = 9,457.24 : x
  2. Step 2: Convert to fraction form
    19,329.52/28,984.92 = 9,457.24/x
  3. Step 3: Cross multiply
    19,329.52x = 28,984.92 × 9,457.24
  4. Step 4: Simplify right side
    19,329.52x = 274,117,344.82
  5. Step 5: Solve for x
    x = 274,117,344.82/19,329.52
  6. Step 6: Final answer
    x = 14,181.28

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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.