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Finding the Fourth Proportional to 21,842.52, 32,768.10 and 7,055.16

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Solution

The fourth proportional to 21,842.52, 32,768.10 and 7,055.16 is: 10,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.52 : 32,768.10 = 7,055.16 : x
  2. Step 2: Convert to fraction form
    21,842.52/32,768.10 = 7,055.16/x
  3. Step 3: Cross multiply
    21,842.52x = 32,768.10 × 7,055.16
  4. Step 4: Simplify right side
    21,842.52x = 231,184,188.40
  5. Step 5: Solve for x
    x = 231,184,188.40/21,842.52
  6. Step 6: Final answer
    x = 10,584.14

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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.