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Finding the Fourth Proportional to 21,454.48, 32,176.59 and 7,415.00

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Solution

The fourth proportional to 21,454.48, 32,176.59 and 7,415.00 is: 11,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.48 : 32,176.59 = 7,415.00 : x
  2. Step 2: Convert to fraction form
    21,454.48/32,176.59 = 7,415.00/x
  3. Step 3: Cross multiply
    21,454.48x = 32,176.59 × 7,415.00
  4. Step 4: Simplify right side
    21,454.48x = 238,589,495.29
  5. Step 5: Solve for x
    x = 238,589,495.29/21,454.48
  6. Step 6: Final answer
    x = 11,120.73

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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.