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Finding the Fourth Proportional to 15,804.11, 21,814.02 and 9,832.22

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Solution

The fourth proportional to 15,804.11, 21,814.02 and 9,832.22 is: 13,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.11 : 21,814.02 = 9,832.22 : x
  2. Step 2: Convert to fraction form
    15,804.11/21,814.02 = 9,832.22/x
  3. Step 3: Cross multiply
    15,804.11x = 21,814.02 × 9,832.22
  4. Step 4: Simplify right side
    15,804.11x = 214,480,085.49
  5. Step 5: Solve for x
    x = 214,480,085.49/15,804.11
  6. Step 6: Final answer
    x = 13,571.16

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1.5x scale

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.