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Finding the Fourth Proportional to 21,886.40, 32,835 and 6,305.24

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Solution

The fourth proportional to 21,886.40, 32,835 and 6,305.24 is: 9,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.40 : 32,835 = 6,305.24 : x
  2. Step 2: Convert to fraction form
    21,886.40/32,835 = 6,305.24/x
  3. Step 3: Cross multiply
    21,886.40x = 32,835 × 6,305.24
  4. Step 4: Simplify right side
    21,886.40x = 207,032,555.40
  5. Step 5: Solve for x
    x = 207,032,555.40/21,886.40
  6. Step 6: Final answer
    x = 9,459.42

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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.