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Finding the Fourth Proportional to 15,478.16, 21,336.75 and 9,505.22

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Solution

The fourth proportional to 15,478.16, 21,336.75 and 9,505.22 is: 13,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.16 : 21,336.75 = 9,505.22 : x
  2. Step 2: Convert to fraction form
    15,478.16/21,336.75 = 9,505.22/x
  3. Step 3: Cross multiply
    15,478.16x = 21,336.75 × 9,505.22
  4. Step 4: Simplify right side
    15,478.16x = 202,810,396.15
  5. Step 5: Solve for x
    x = 202,810,396.15/15,478.16
  6. Step 6: Final answer
    x = 13,103.01

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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.