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Finding the Fourth Proportional to 17,976.40, 24,807.04 and 10,424.06

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Solution

The fourth proportional to 17,976.40, 24,807.04 and 10,424.06 is: 14,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.40 : 24,807.04 = 10,424.06 : x
  2. Step 2: Convert to fraction form
    17,976.40/24,807.04 = 10,424.06/x
  3. Step 3: Cross multiply
    17,976.40x = 24,807.04 × 10,424.06
  4. Step 4: Simplify right side
    17,976.40x = 258,590,073.38
  5. Step 5: Solve for x
    x = 258,590,073.38/17,976.40
  6. Step 6: Final answer
    x = 14,384.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.