Home / 10,830.64-16,214.37-9,705.14

Finding the Fourth Proportional to 10,830.64, 16,214.37 and 9,705.14

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Solution

The fourth proportional to 10,830.64, 16,214.37 and 9,705.14 is: 14,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.64 : 16,214.37 = 9,705.14 : x
  2. Step 2: Convert to fraction form
    10,830.64/16,214.37 = 9,705.14/x
  3. Step 3: Cross multiply
    10,830.64x = 16,214.37 × 9,705.14
  4. Step 4: Simplify right side
    10,830.64x = 157,362,735.00
  5. Step 5: Solve for x
    x = 157,362,735.00/10,830.64
  6. Step 6: Final answer
    x = 14,529.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.