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Finding the Fourth Proportional to 35,569.76, 53,362.74 and 12,194.78

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Solution

The fourth proportional to 35,569.76, 53,362.74 and 12,194.78 is: 18,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569.76 : 53,362.74 = 12,194.78 : x
  2. Step 2: Convert to fraction form
    35,569.76/53,362.74 = 12,194.78/x
  3. Step 3: Cross multiply
    35,569.76x = 53,362.74 × 12,194.78
  4. Step 4: Simplify right side
    35,569.76x = 650,746,874.50
  5. Step 5: Solve for x
    x = 650,746,874.50/35,569.76
  6. Step 6: Final answer
    x = 18,294.95

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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.