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Finding the Fourth Proportional to 14,180.92, 19,564.42 and 14,159.05

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Solution

The fourth proportional to 14,180.92, 19,564.42 and 14,159.05 is: 19,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.92 : 19,564.42 = 14,159.05 : x
  2. Step 2: Convert to fraction form
    14,180.92/19,564.42 = 14,159.05/x
  3. Step 3: Cross multiply
    14,180.92x = 19,564.42 × 14,159.05
  4. Step 4: Simplify right side
    14,180.92x = 277,013,601.00
  5. Step 5: Solve for x
    x = 277,013,601.00/14,180.92
  6. Step 6: Final answer
    x = 19,534.25

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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.