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Finding the Fourth Proportional to 21,460.64, 29,615.64 and 13,077.14

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Solution

The fourth proportional to 21,460.64, 29,615.64 and 13,077.14 is: 18,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.64 : 29,615.64 = 13,077.14 : x
  2. Step 2: Convert to fraction form
    21,460.64/29,615.64 = 13,077.14/x
  3. Step 3: Cross multiply
    21,460.64x = 29,615.64 × 13,077.14
  4. Step 4: Simplify right side
    21,460.64x = 387,287,870.47
  5. Step 5: Solve for x
    x = 387,287,870.47/21,460.64
  6. Step 6: Final answer
    x = 18,046.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.