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Finding the Fourth Proportional to 19,872, 29,762.64 and 9,491.04

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Solution

The fourth proportional to 19,872, 29,762.64 and 9,491.04 is: 14,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872 : 29,762.64 = 9,491.04 : x
  2. Step 2: Convert to fraction form
    19,872/29,762.64 = 9,491.04/x
  3. Step 3: Cross multiply
    19,872x = 29,762.64 × 9,491.04
  4. Step 4: Simplify right side
    19,872x = 282,478,406.75
  5. Step 5: Solve for x
    x = 282,478,406.75/19,872
  6. Step 6: Final answer
    x = 14,214.90

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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.