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Finding the Fourth Proportional to 20,838.19, 28,758.23 and 13,752.31

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Solution

The fourth proportional to 20,838.19, 28,758.23 and 13,752.31 is: 18,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.19 : 28,758.23 = 13,752.31 : x
  2. Step 2: Convert to fraction form
    20,838.19/28,758.23 = 13,752.31/x
  3. Step 3: Cross multiply
    20,838.19x = 28,758.23 × 13,752.31
  4. Step 4: Simplify right side
    20,838.19x = 395,492,094.01
  5. Step 5: Solve for x
    x = 395,492,094.01/20,838.19
  6. Step 6: Final answer
    x = 18,979.20

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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.