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Finding the Fourth Proportional to 35,580.86, 53,381.01 and 12,209.12

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Solution

The fourth proportional to 35,580.86, 53,381.01 and 12,209.12 is: 18,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580.86 : 53,381.01 = 12,209.12 : x
  2. Step 2: Convert to fraction form
    35,580.86/53,381.01 = 12,209.12/x
  3. Step 3: Cross multiply
    35,580.86x = 53,381.01 × 12,209.12
  4. Step 4: Simplify right side
    35,580.86x = 651,735,156.81
  5. Step 5: Solve for x
    x = 651,735,156.81/35,580.86
  6. Step 6: Final answer
    x = 18,317.02

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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.