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Finding the Fourth Proportional to 11,298.60, 16,934.22 and 9,970.02

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Solution

The fourth proportional to 11,298.60, 16,934.22 and 9,970.02 is: 14,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.60 : 16,934.22 = 9,970.02 : x
  2. Step 2: Convert to fraction form
    11,298.60/16,934.22 = 9,970.02/x
  3. Step 3: Cross multiply
    11,298.60x = 16,934.22 × 9,970.02
  4. Step 4: Simplify right side
    11,298.60x = 168,834,512.08
  5. Step 5: Solve for x
    x = 168,834,512.08/11,298.60
  6. Step 6: Final answer
    x = 14,942.96

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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.