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Finding the Fourth Proportional to 15,945, 22,004.10 and 9,321

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Solution

The fourth proportional to 15,945, 22,004.10 and 9,321 is: 12,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945 : 22,004.10 = 9,321 : x
  2. Step 2: Convert to fraction form
    15,945/22,004.10 = 9,321/x
  3. Step 3: Cross multiply
    15,945x = 22,004.10 × 9,321
  4. Step 4: Simplify right side
    15,945x = 205,100,216.10
  5. Step 5: Solve for x
    x = 205,100,216.10/15,945
  6. Step 6: Final answer
    x = 12,862.98

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