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Finding the Fourth Proportional to 14,582.67, 20,126.98 and 9,471.05

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Solution

The fourth proportional to 14,582.67, 20,126.98 and 9,471.05 is: 13,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.67 : 20,126.98 = 9,471.05 : x
  2. Step 2: Convert to fraction form
    14,582.67/20,126.98 = 9,471.05/x
  3. Step 3: Cross multiply
    14,582.67x = 20,126.98 × 9,471.05
  4. Step 4: Simplify right side
    14,582.67x = 190,623,567.33
  5. Step 5: Solve for x
    x = 190,623,567.33/14,582.67
  6. Step 6: Final answer
    x = 13,071.92

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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.