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Finding the Fourth Proportional to 21,232.12, 31,848.06 and 7,381

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Solution

The fourth proportional to 21,232.12, 31,848.06 and 7,381 is: 11,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.12 : 31,848.06 = 7,381 : x
  2. Step 2: Convert to fraction form
    21,232.12/31,848.06 = 7,381/x
  3. Step 3: Cross multiply
    21,232.12x = 31,848.06 × 7,381
  4. Step 4: Simplify right side
    21,232.12x = 235,070,530.86
  5. Step 5: Solve for x
    x = 235,070,530.86/21,232.12
  6. Step 6: Final answer
    x = 11,071.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.