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Finding the Fourth Proportional to 15,135, 22,703.04 and 4,042.32

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Solution

The fourth proportional to 15,135, 22,703.04 and 4,042.32 is: 6,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135 : 22,703.04 = 4,042.32 : x
  2. Step 2: Convert to fraction form
    15,135/22,703.04 = 4,042.32/x
  3. Step 3: Cross multiply
    15,135x = 22,703.04 × 4,042.32
  4. Step 4: Simplify right side
    15,135x = 91,772,952.65
  5. Step 5: Solve for x
    x = 91,772,952.65/15,135
  6. Step 6: Final answer
    x = 6,063.62

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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.