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Finding the Fourth Proportional to 21,570.14, 32,342.45 and 8,407.15

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Solution

The fourth proportional to 21,570.14, 32,342.45 and 8,407.15 is: 12,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.14 : 32,342.45 = 8,407.15 : x
  2. Step 2: Convert to fraction form
    21,570.14/32,342.45 = 8,407.15/x
  3. Step 3: Cross multiply
    21,570.14x = 32,342.45 × 8,407.15
  4. Step 4: Simplify right side
    21,570.14x = 271,907,828.52
  5. Step 5: Solve for x
    x = 271,907,828.52/21,570.14
  6. Step 6: Final answer
    x = 12,605.75

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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.