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Finding the Fourth Proportional to 12,422.58, 17,146.21 and 7,048.16

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Solution

The fourth proportional to 12,422.58, 17,146.21 and 7,048.16 is: 9,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.58 : 17,146.21 = 7,048.16 : x
  2. Step 2: Convert to fraction form
    12,422.58/17,146.21 = 7,048.16/x
  3. Step 3: Cross multiply
    12,422.58x = 17,146.21 × 7,048.16
  4. Step 4: Simplify right side
    12,422.58x = 120,849,239.10
  5. Step 5: Solve for x
    x = 120,849,239.10/12,422.58
  6. Step 6: Final answer
    x = 9,728.19

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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.