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Finding the Fourth Proportional to 12,897.47, 17,802.19 and 7,595.36

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Solution

The fourth proportional to 12,897.47, 17,802.19 and 7,595.36 is: 10,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.47 : 17,802.19 = 7,595.36 : x
  2. Step 2: Convert to fraction form
    12,897.47/17,802.19 = 7,595.36/x
  3. Step 3: Cross multiply
    12,897.47x = 17,802.19 × 7,595.36
  4. Step 4: Simplify right side
    12,897.47x = 135,214,041.84
  5. Step 5: Solve for x
    x = 135,214,041.84/12,897.47
  6. Step 6: Final answer
    x = 10,483.76

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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.