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Finding the Fourth Proportional to 12,473.61, 18,723.24 and 9,730.29

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Solution

The fourth proportional to 12,473.61, 18,723.24 and 9,730.29 is: 14,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.61 : 18,723.24 = 9,730.29 : x
  2. Step 2: Convert to fraction form
    12,473.61/18,723.24 = 9,730.29/x
  3. Step 3: Cross multiply
    12,473.61x = 18,723.24 × 9,730.29
  4. Step 4: Simplify right side
    12,473.61x = 182,182,554.94
  5. Step 5: Solve for x
    x = 182,182,554.94/12,473.61
  6. Step 6: Final answer
    x = 14,605.44

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1.5x scale

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.