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Finding the Fourth Proportional to 25,146.66, 34,702.94 and 13,816.32

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Solution

The fourth proportional to 25,146.66, 34,702.94 and 13,816.32 is: 19,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.66 : 34,702.94 = 13,816.32 : x
  2. Step 2: Convert to fraction form
    25,146.66/34,702.94 = 13,816.32/x
  3. Step 3: Cross multiply
    25,146.66x = 34,702.94 × 13,816.32
  4. Step 4: Simplify right side
    25,146.66x = 479,466,923.98
  5. Step 5: Solve for x
    x = 479,466,923.98/25,146.66
  6. Step 6: Final answer
    x = 19,066.82

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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.