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Finding the Fourth Proportional to 14,590.38, 20,134.60 and 8,303.10

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Solution

The fourth proportional to 14,590.38, 20,134.60 and 8,303.10 is: 11,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.38 : 20,134.60 = 8,303.10 : x
  2. Step 2: Convert to fraction form
    14,590.38/20,134.60 = 8,303.10/x
  3. Step 3: Cross multiply
    14,590.38x = 20,134.60 × 8,303.10
  4. Step 4: Simplify right side
    14,590.38x = 167,179,597.26
  5. Step 5: Solve for x
    x = 167,179,597.26/14,590.38
  6. Step 6: Final answer
    x = 11,458.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.