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Finding the Fourth Proportional to 14,415.34, 21,594.22 and 11,458.78

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Solution

The fourth proportional to 14,415.34, 21,594.22 and 11,458.78 is: 17,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.34 : 21,594.22 = 11,458.78 : x
  2. Step 2: Convert to fraction form
    14,415.34/21,594.22 = 11,458.78/x
  3. Step 3: Cross multiply
    14,415.34x = 21,594.22 × 11,458.78
  4. Step 4: Simplify right side
    14,415.34x = 247,443,416.25
  5. Step 5: Solve for x
    x = 247,443,416.25/14,415.34
  6. Step 6: Final answer
    x = 17,165.28

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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.