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Finding the Fourth Proportional to 12,897.97, 17,802.89 and 7,595.86

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Solution

The fourth proportional to 12,897.97, 17,802.89 and 7,595.86 is: 10,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.97 : 17,802.89 = 7,595.86 : x
  2. Step 2: Convert to fraction form
    12,897.97/17,802.89 = 7,595.86/x
  3. Step 3: Cross multiply
    12,897.97x = 17,802.89 × 7,595.86
  4. Step 4: Simplify right side
    12,897.97x = 135,228,260.04
  5. Step 5: Solve for x
    x = 135,228,260.04/12,897.97
  6. Step 6: Final answer
    x = 10,484.46

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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.