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Finding the Fourth Proportional to 20,510.30, 30,746.01 and 18,684.14

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Solution

The fourth proportional to 20,510.30, 30,746.01 and 18,684.14 is: 28,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.30 : 30,746.01 = 18,684.14 : x
  2. Step 2: Convert to fraction form
    20,510.30/30,746.01 = 18,684.14/x
  3. Step 3: Cross multiply
    20,510.30x = 30,746.01 × 18,684.14
  4. Step 4: Simplify right side
    20,510.30x = 574,462,755.28
  5. Step 5: Solve for x
    x = 574,462,755.28/20,510.30
  6. Step 6: Final answer
    x = 28,008.50

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Why These Related Problems?

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