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Finding the Fourth Proportional to 22,547.25, 31,114.69 and 12,475.82

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Solution

The fourth proportional to 22,547.25, 31,114.69 and 12,475.82 is: 17,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.25 : 31,114.69 = 12,475.82 : x
  2. Step 2: Convert to fraction form
    22,547.25/31,114.69 = 12,475.82/x
  3. Step 3: Cross multiply
    22,547.25x = 31,114.69 × 12,475.82
  4. Step 4: Simplify right side
    22,547.25x = 388,181,318.39
  5. Step 5: Solve for x
    x = 388,181,318.39/22,547.25
  6. Step 6: Final answer
    x = 17,216.35

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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.