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Finding the Fourth Proportional to 12,298.96, 16,929.88 and 9,309.52

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Solution

The fourth proportional to 12,298.96, 16,929.88 and 9,309.52 is: 12,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.96 : 16,929.88 = 9,309.52 : x
  2. Step 2: Convert to fraction form
    12,298.96/16,929.88 = 9,309.52/x
  3. Step 3: Cross multiply
    12,298.96x = 16,929.88 × 9,309.52
  4. Step 4: Simplify right side
    12,298.96x = 157,609,056.46
  5. Step 5: Solve for x
    x = 157,609,056.46/12,298.96
  6. Step 6: Final answer
    x = 12,814.83

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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.