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Finding the Fourth Proportional to 21,923.84, 32,887.56 and 9,444.16

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Solution

The fourth proportional to 21,923.84, 32,887.56 and 9,444.16 is: 14,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923.84 : 32,887.56 = 9,444.16 : x
  2. Step 2: Convert to fraction form
    21,923.84/32,887.56 = 9,444.16/x
  3. Step 3: Cross multiply
    21,923.84x = 32,887.56 × 9,444.16
  4. Step 4: Simplify right side
    21,923.84x = 310,595,378.65
  5. Step 5: Solve for x
    x = 310,595,378.65/21,923.84
  6. Step 6: Final answer
    x = 14,167.02

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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.