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Finding the Fourth Proportional to 16,042.64, 24,066.02 and 6,184.74

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Solution

The fourth proportional to 16,042.64, 24,066.02 and 6,184.74 is: 9,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.64 : 24,066.02 = 6,184.74 : x
  2. Step 2: Convert to fraction form
    16,042.64/24,066.02 = 6,184.74/x
  3. Step 3: Cross multiply
    16,042.64x = 24,066.02 × 6,184.74
  4. Step 4: Simplify right side
    16,042.64x = 148,842,076.53
  5. Step 5: Solve for x
    x = 148,842,076.53/16,042.64
  6. Step 6: Final answer
    x = 9,277.90

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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.