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Finding the Fourth Proportional to 14,577.96, 20,094.30 and 9,854.04

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Solution

The fourth proportional to 14,577.96, 20,094.30 and 9,854.04 is: 13,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.96 : 20,094.30 = 9,854.04 : x
  2. Step 2: Convert to fraction form
    14,577.96/20,094.30 = 9,854.04/x
  3. Step 3: Cross multiply
    14,577.96x = 20,094.30 × 9,854.04
  4. Step 4: Simplify right side
    14,577.96x = 198,010,035.97
  5. Step 5: Solve for x
    x = 198,010,035.97/14,577.96
  6. Step 6: Final answer
    x = 13,582.84

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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.