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Finding the Fourth Proportional to 14,854.23, 20,503.08 and 9,189.90

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Solution

The fourth proportional to 14,854.23, 20,503.08 and 9,189.90 is: 12,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.23 : 20,503.08 = 9,189.90 : x
  2. Step 2: Convert to fraction form
    14,854.23/20,503.08 = 9,189.90/x
  3. Step 3: Cross multiply
    14,854.23x = 20,503.08 × 9,189.90
  4. Step 4: Simplify right side
    14,854.23x = 188,421,254.89
  5. Step 5: Solve for x
    x = 188,421,254.89/14,854.23
  6. Step 6: Final answer
    x = 12,684.69

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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.