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Finding the Fourth Proportional to 21,458.79, 32,182.03 and 7,415.14

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Solution

The fourth proportional to 21,458.79, 32,182.03 and 7,415.14 is: 11,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.79 : 32,182.03 = 7,415.14 : x
  2. Step 2: Convert to fraction form
    21,458.79/32,182.03 = 7,415.14/x
  3. Step 3: Cross multiply
    21,458.79x = 32,182.03 × 7,415.14
  4. Step 4: Simplify right side
    21,458.79x = 238,634,257.93
  5. Step 5: Solve for x
    x = 238,634,257.93/21,458.79
  6. Step 6: Final answer
    x = 11,120.58

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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.