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Finding the Fourth Proportional to 23,642.56, 32,624.88 and 13,032.64

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Solution

The fourth proportional to 23,642.56, 32,624.88 and 13,032.64 is: 17,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.56 : 32,624.88 = 13,032.64 : x
  2. Step 2: Convert to fraction form
    23,642.56/32,624.88 = 13,032.64/x
  3. Step 3: Cross multiply
    23,642.56x = 32,624.88 × 13,032.64
  4. Step 4: Simplify right side
    23,642.56x = 425,188,316.08
  5. Step 5: Solve for x
    x = 425,188,316.08/23,642.56
  6. Step 6: Final answer
    x = 17,984.02

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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.