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Finding the Fourth Proportional to 15,830.46, 21,845.29 and 9,114.64

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Solution

The fourth proportional to 15,830.46, 21,845.29 and 9,114.64 is: 12,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.46 : 21,845.29 = 9,114.64 : x
  2. Step 2: Convert to fraction form
    15,830.46/21,845.29 = 9,114.64/x
  3. Step 3: Cross multiply
    15,830.46x = 21,845.29 × 9,114.64
  4. Step 4: Simplify right side
    15,830.46x = 199,111,954.05
  5. Step 5: Solve for x
    x = 199,111,954.05/15,830.46
  6. Step 6: Final answer
    x = 12,577.77

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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.