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Finding the Fourth Proportional to 27,130.34, 40,701.29 and 8,410.84

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Solution

The fourth proportional to 27,130.34, 40,701.29 and 8,410.84 is: 12,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.34 : 40,701.29 = 8,410.84 : x
  2. Step 2: Convert to fraction form
    27,130.34/40,701.29 = 8,410.84/x
  3. Step 3: Cross multiply
    27,130.34x = 40,701.29 × 8,410.84
  4. Step 4: Simplify right side
    27,130.34x = 342,331,894.18
  5. Step 5: Solve for x
    x = 342,331,894.18/27,130.34
  6. Step 6: Final answer
    x = 12,618.05

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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.