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Finding the Fourth Proportional to 19,702.54, 27,164.24 and 14,320.55

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Solution

The fourth proportional to 19,702.54, 27,164.24 and 14,320.55 is: 19,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.54 : 27,164.24 = 14,320.55 : x
  2. Step 2: Convert to fraction form
    19,702.54/27,164.24 = 14,320.55/x
  3. Step 3: Cross multiply
    19,702.54x = 27,164.24 × 14,320.55
  4. Step 4: Simplify right side
    19,702.54x = 389,006,785.53
  5. Step 5: Solve for x
    x = 389,006,785.53/19,702.54
  6. Step 6: Final answer
    x = 19,744.00

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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.