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Finding the Fourth Proportional to 12,985.20, 17,919.95 and 7,678.08

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Solution

The fourth proportional to 12,985.20, 17,919.95 and 7,678.08 is: 10,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.20 : 17,919.95 = 7,678.08 : x
  2. Step 2: Convert to fraction form
    12,985.20/17,919.95 = 7,678.08/x
  3. Step 3: Cross multiply
    12,985.20x = 17,919.95 × 7,678.08
  4. Step 4: Simplify right side
    12,985.20x = 137,590,771.31
  5. Step 5: Solve for x
    x = 137,590,771.31/12,985.20
  6. Step 6: Final answer
    x = 10,595.97

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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.