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Finding the Fourth Proportional to 22,878.99, 31,567.32 and 14,382.54

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Solution

The fourth proportional to 22,878.99, 31,567.32 and 14,382.54 is: 19,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.99 : 31,567.32 = 14,382.54 : x
  2. Step 2: Convert to fraction form
    22,878.99/31,567.32 = 14,382.54/x
  3. Step 3: Cross multiply
    22,878.99x = 31,567.32 × 14,382.54
  4. Step 4: Simplify right side
    22,878.99x = 454,018,242.59
  5. Step 5: Solve for x
    x = 454,018,242.59/22,878.99
  6. Step 6: Final answer
    x = 19,844.33

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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.