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Finding the Fourth Proportional to 22,547.16, 31,112.42 and 12,474.27

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Solution

The fourth proportional to 22,547.16, 31,112.42 and 12,474.27 is: 17,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.16 : 31,112.42 = 12,474.27 : x
  2. Step 2: Convert to fraction form
    22,547.16/31,112.42 = 12,474.27/x
  3. Step 3: Cross multiply
    22,547.16x = 31,112.42 × 12,474.27
  4. Step 4: Simplify right side
    22,547.16x = 388,104,665.06
  5. Step 5: Solve for x
    x = 388,104,665.06/22,547.16
  6. Step 6: Final answer
    x = 17,213.02

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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.