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Finding the Fourth Proportional to 22,478.64, 31,020.48 and 12,407.08

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Solution

The fourth proportional to 22,478.64, 31,020.48 and 12,407.08 is: 17,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.64 : 31,020.48 = 12,407.08 : x
  2. Step 2: Convert to fraction form
    22,478.64/31,020.48 = 12,407.08/x
  3. Step 3: Cross multiply
    22,478.64x = 31,020.48 × 12,407.08
  4. Step 4: Simplify right side
    22,478.64x = 384,873,577.00
  5. Step 5: Solve for x
    x = 384,873,577.00/22,478.64
  6. Step 6: Final answer
    x = 17,121.75

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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.