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Finding the Fourth Proportional to 14,975.61, 22,469.94 and 8,042.01

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Solution

The fourth proportional to 14,975.61, 22,469.94 and 8,042.01 is: 12,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975.61 : 22,469.94 = 8,042.01 : x
  2. Step 2: Convert to fraction form
    14,975.61/22,469.94 = 8,042.01/x
  3. Step 3: Cross multiply
    14,975.61x = 22,469.94 × 8,042.01
  4. Step 4: Simplify right side
    14,975.61x = 180,703,482.18
  5. Step 5: Solve for x
    x = 180,703,482.18/14,975.61
  6. Step 6: Final answer
    x = 12,066.52

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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.