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Finding the Fourth Proportional to 22,857.12, 31,547.88 and 14,472

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Solution

The fourth proportional to 22,857.12, 31,547.88 and 14,472 is: 19,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.12 : 31,547.88 = 14,472 : x
  2. Step 2: Convert to fraction form
    22,857.12/31,547.88 = 14,472/x
  3. Step 3: Cross multiply
    22,857.12x = 31,547.88 × 14,472
  4. Step 4: Simplify right side
    22,857.12x = 456,560,919.36
  5. Step 5: Solve for x
    x = 456,560,919.36/22,857.12
  6. Step 6: Final answer
    x = 19,974.56

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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.