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Finding the Fourth Proportional to 21,762.52, 32,649.40 and 9,276.28

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Solution

The fourth proportional to 21,762.52, 32,649.40 and 9,276.28 is: 13,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.52 : 32,649.40 = 9,276.28 : x
  2. Step 2: Convert to fraction form
    21,762.52/32,649.40 = 9,276.28/x
  3. Step 3: Cross multiply
    21,762.52x = 32,649.40 × 9,276.28
  4. Step 4: Simplify right side
    21,762.52x = 302,864,976.23
  5. Step 5: Solve for x
    x = 302,864,976.23/21,762.52
  6. Step 6: Final answer
    x = 13,916.82

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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.