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Finding the Fourth Proportional to 18,897.30, 28,340.89 and 5,746.14

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Solution

The fourth proportional to 18,897.30, 28,340.89 and 5,746.14 is: 8,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,897.30 : 28,340.89 = 5,746.14 : x
  2. Step 2: Convert to fraction form
    18,897.30/28,340.89 = 5,746.14/x
  3. Step 3: Cross multiply
    18,897.30x = 28,340.89 × 5,746.14
  4. Step 4: Simplify right side
    18,897.30x = 162,850,707.30
  5. Step 5: Solve for x
    x = 162,850,707.30/18,897.30
  6. Step 6: Final answer
    x = 8,617.67

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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.