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Finding the Fourth Proportional to 14,838.08, 22,264.68 and 7,046.96

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Solution

The fourth proportional to 14,838.08, 22,264.68 and 7,046.96 is: 10,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.08 : 22,264.68 = 7,046.96 : x
  2. Step 2: Convert to fraction form
    14,838.08/22,264.68 = 7,046.96/x
  3. Step 3: Cross multiply
    14,838.08x = 22,264.68 × 7,046.96
  4. Step 4: Simplify right side
    14,838.08x = 156,898,309.37
  5. Step 5: Solve for x
    x = 156,898,309.37/14,838.08
  6. Step 6: Final answer
    x = 10,574.03

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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.