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Finding the Fourth Proportional to 18,783.64, 25,923.18 and 10,402.84

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Solution

The fourth proportional to 18,783.64, 25,923.18 and 10,402.84 is: 14,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783.64 : 25,923.18 = 10,402.84 : x
  2. Step 2: Convert to fraction form
    18,783.64/25,923.18 = 10,402.84/x
  3. Step 3: Cross multiply
    18,783.64x = 25,923.18 × 10,402.84
  4. Step 4: Simplify right side
    18,783.64x = 269,674,693.83
  5. Step 5: Solve for x
    x = 269,674,693.83/18,783.64
  6. Step 6: Final answer
    x = 14,356.89

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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.