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Finding the Fourth Proportional to 12,298.74, 16,970.64 and 6,992.40

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Solution

The fourth proportional to 12,298.74, 16,970.64 and 6,992.40 is: 9,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.74 : 16,970.64 = 6,992.40 : x
  2. Step 2: Convert to fraction form
    12,298.74/16,970.64 = 6,992.40/x
  3. Step 3: Cross multiply
    12,298.74x = 16,970.64 × 6,992.40
  4. Step 4: Simplify right side
    12,298.74x = 118,665,503.14
  5. Step 5: Solve for x
    x = 118,665,503.14/12,298.74
  6. Step 6: Final answer
    x = 9,648.59

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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.