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Finding the Fourth Proportional to 19,549.32, 26,978.09 and 10,596.81

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Solution

The fourth proportional to 19,549.32, 26,978.09 and 10,596.81 is: 14,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.32 : 26,978.09 = 10,596.81 : x
  2. Step 2: Convert to fraction form
    19,549.32/26,978.09 = 10,596.81/x
  3. Step 3: Cross multiply
    19,549.32x = 26,978.09 × 10,596.81
  4. Step 4: Simplify right side
    19,549.32x = 285,881,742.08
  5. Step 5: Solve for x
    x = 285,881,742.08/19,549.32
  6. Step 6: Final answer
    x = 14,623.62

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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.