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Finding the Fourth Proportional to 22,825.80, 31,509.30 and 13,876.16

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Solution

The fourth proportional to 22,825.80, 31,509.30 and 13,876.16 is: 19,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.80 : 31,509.30 = 13,876.16 : x
  2. Step 2: Convert to fraction form
    22,825.80/31,509.30 = 13,876.16/x
  3. Step 3: Cross multiply
    22,825.80x = 31,509.30 × 13,876.16
  4. Step 4: Simplify right side
    22,825.80x = 437,228,160.02
  5. Step 5: Solve for x
    x = 437,228,160.02/22,825.80
  6. Step 6: Final answer
    x = 19,155.00

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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.