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Finding the Fourth Proportional to 30,669.10, 46,003.64 and 9,892.60

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Solution

The fourth proportional to 30,669.10, 46,003.64 and 9,892.60 is: 14,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.10 : 46,003.64 = 9,892.60 : x
  2. Step 2: Convert to fraction form
    30,669.10/46,003.64 = 9,892.60/x
  3. Step 3: Cross multiply
    30,669.10x = 46,003.64 × 9,892.60
  4. Step 4: Simplify right side
    30,669.10x = 455,095,609.06
  5. Step 5: Solve for x
    x = 455,095,609.06/30,669.10
  6. Step 6: Final answer
    x = 14,838.90

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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.