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Finding the Fourth Proportional to 14,221.64, 21,335.70 and 5,460.68

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Solution

The fourth proportional to 14,221.64, 21,335.70 and 5,460.68 is: 8,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.64 : 21,335.70 = 5,460.68 : x
  2. Step 2: Convert to fraction form
    14,221.64/21,335.70 = 5,460.68/x
  3. Step 3: Cross multiply
    14,221.64x = 21,335.70 × 5,460.68
  4. Step 4: Simplify right side
    14,221.64x = 116,507,430.28
  5. Step 5: Solve for x
    x = 116,507,430.28/14,221.64
  6. Step 6: Final answer
    x = 8,192.26

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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.