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Finding the Fourth Proportional to 14,537.60, 21,838.80 and 13,947.20

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Solution

The fourth proportional to 14,537.60, 21,838.80 and 13,947.20 is: 20,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.60 : 21,838.80 = 13,947.20 : x
  2. Step 2: Convert to fraction form
    14,537.60/21,838.80 = 13,947.20/x
  3. Step 3: Cross multiply
    14,537.60x = 21,838.80 × 13,947.20
  4. Step 4: Simplify right side
    14,537.60x = 304,590,111.36
  5. Step 5: Solve for x
    x = 304,590,111.36/14,537.60
  6. Step 6: Final answer
    x = 20,951.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.