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Finding the Fourth Proportional to 21,732, 32,602.32 and 9,252

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Solution

The fourth proportional to 21,732, 32,602.32 and 9,252 is: 13,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732 : 32,602.32 = 9,252 : x
  2. Step 2: Convert to fraction form
    21,732/32,602.32 = 9,252/x
  3. Step 3: Cross multiply
    21,732x = 32,602.32 × 9,252
  4. Step 4: Simplify right side
    21,732x = 301,636,664.64
  5. Step 5: Solve for x
    x = 301,636,664.64/21,732
  6. Step 6: Final answer
    x = 13,879.84

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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.