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Finding the Fourth Proportional to 12,097.80, 18,122.40 and 6,897.60

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Solution

The fourth proportional to 12,097.80, 18,122.40 and 6,897.60 is: 10,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.80 : 18,122.40 = 6,897.60 : x
  2. Step 2: Convert to fraction form
    12,097.80/18,122.40 = 6,897.60/x
  3. Step 3: Cross multiply
    12,097.80x = 18,122.40 × 6,897.60
  4. Step 4: Simplify right side
    12,097.80x = 125,001,066.24
  5. Step 5: Solve for x
    x = 125,001,066.24/12,097.80
  6. Step 6: Final answer
    x = 10,332.55

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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.