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Finding the Fourth Proportional to 24,047.02, 36,066.88 and 8,461

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Solution

The fourth proportional to 24,047.02, 36,066.88 and 8,461 is: 12,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.02 : 36,066.88 = 8,461 : x
  2. Step 2: Convert to fraction form
    24,047.02/36,066.88 = 8,461/x
  3. Step 3: Cross multiply
    24,047.02x = 36,066.88 × 8,461
  4. Step 4: Simplify right side
    24,047.02x = 305,161,871.68
  5. Step 5: Solve for x
    x = 305,161,871.68/24,047.02
  6. Step 6: Final answer
    x = 12,690.22

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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.