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Finding the Fourth Proportional to 21,851.09, 32,776.64 and 9,363

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Solution

The fourth proportional to 21,851.09, 32,776.64 and 9,363 is: 14,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.09 : 32,776.64 = 9,363 : x
  2. Step 2: Convert to fraction form
    21,851.09/32,776.64 = 9,363/x
  3. Step 3: Cross multiply
    21,851.09x = 32,776.64 × 9,363
  4. Step 4: Simplify right side
    21,851.09x = 306,887,633.51
  5. Step 5: Solve for x
    x = 306,887,633.51/21,851.09
  6. Step 6: Final answer
    x = 14,044.50

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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.