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Finding the Fourth Proportional to 21,925.12, 32,892 and 6,342.88

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Solution

The fourth proportional to 21,925.12, 32,892 and 6,342.88 is: 9,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.12 : 32,892 = 6,342.88 : x
  2. Step 2: Convert to fraction form
    21,925.12/32,892 = 6,342.88/x
  3. Step 3: Cross multiply
    21,925.12x = 32,892 × 6,342.88
  4. Step 4: Simplify right side
    21,925.12x = 208,630,008.96
  5. Step 5: Solve for x
    x = 208,630,008.96/21,925.12
  6. Step 6: Final answer
    x = 9,515.57

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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.