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Finding the Fourth Proportional to 27,184.50, 40,777.02 and 9,655.02

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Solution

The fourth proportional to 27,184.50, 40,777.02 and 9,655.02 is: 14,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.50 : 40,777.02 = 9,655.02 : x
  2. Step 2: Convert to fraction form
    27,184.50/40,777.02 = 9,655.02/x
  3. Step 3: Cross multiply
    27,184.50x = 40,777.02 × 9,655.02
  4. Step 4: Simplify right side
    27,184.50x = 393,702,943.64
  5. Step 5: Solve for x
    x = 393,702,943.64/27,184.50
  6. Step 6: Final answer
    x = 14,482.63

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Why These Related Problems?

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