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Finding the Fourth Proportional to 12,897.44, 17,804.40 and 10,564.64

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Solution

The fourth proportional to 12,897.44, 17,804.40 and 10,564.64 is: 14,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.44 : 17,804.40 = 10,564.64 : x
  2. Step 2: Convert to fraction form
    12,897.44/17,804.40 = 10,564.64/x
  3. Step 3: Cross multiply
    12,897.44x = 17,804.40 × 10,564.64
  4. Step 4: Simplify right side
    12,897.44x = 188,097,076.42
  5. Step 5: Solve for x
    x = 188,097,076.42/12,897.44
  6. Step 6: Final answer
    x = 14,584.06

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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.