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Finding the Fourth Proportional to 12,970.11, 17,898.02 and 7,665.42

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Solution

The fourth proportional to 12,970.11, 17,898.02 and 7,665.42 is: 10,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.11 : 17,898.02 = 7,665.42 : x
  2. Step 2: Convert to fraction form
    12,970.11/17,898.02 = 7,665.42/x
  3. Step 3: Cross multiply
    12,970.11x = 17,898.02 × 7,665.42
  4. Step 4: Simplify right side
    12,970.11x = 137,195,894.80
  5. Step 5: Solve for x
    x = 137,195,894.80/12,970.11
  6. Step 6: Final answer
    x = 10,577.85

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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.