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Finding the Fourth Proportional to 17,664, 24,376.32 and 10,216.32

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Solution

The fourth proportional to 17,664, 24,376.32 and 10,216.32 is: 14,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664 : 24,376.32 = 10,216.32 : x
  2. Step 2: Convert to fraction form
    17,664/24,376.32 = 10,216.32/x
  3. Step 3: Cross multiply
    17,664x = 24,376.32 × 10,216.32
  4. Step 4: Simplify right side
    17,664x = 249,036,285.54
  5. Step 5: Solve for x
    x = 249,036,285.54/17,664
  6. Step 6: Final answer
    x = 14,098.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.