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Finding the Fourth Proportional to 21,095.34, 31,624.38 and 7,948.32

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Solution

The fourth proportional to 21,095.34, 31,624.38 and 7,948.32 is: 11,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.34 : 31,624.38 = 7,948.32 : x
  2. Step 2: Convert to fraction form
    21,095.34/31,624.38 = 7,948.32/x
  3. Step 3: Cross multiply
    21,095.34x = 31,624.38 × 7,948.32
  4. Step 4: Simplify right side
    21,095.34x = 251,360,692.04
  5. Step 5: Solve for x
    x = 251,360,692.04/21,095.34
  6. Step 6: Final answer
    x = 11,915.46

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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.