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Finding the Fourth Proportional to 14,958.16, 22,434.12 and 5,097.36

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Solution

The fourth proportional to 14,958.16, 22,434.12 and 5,097.36 is: 7,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,958.16 : 22,434.12 = 5,097.36 : x
  2. Step 2: Convert to fraction form
    14,958.16/22,434.12 = 5,097.36/x
  3. Step 3: Cross multiply
    14,958.16x = 22,434.12 × 5,097.36
  4. Step 4: Simplify right side
    14,958.16x = 114,354,785.92
  5. Step 5: Solve for x
    x = 114,354,785.92/14,958.16
  6. Step 6: Final answer
    x = 7,644.98

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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.