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Finding the Fourth Proportional to 14,854.17, 22,268.16 and 7,448.07

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Solution

The fourth proportional to 14,854.17, 22,268.16 and 7,448.07 is: 11,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.17 : 22,268.16 = 7,448.07 : x
  2. Step 2: Convert to fraction form
    14,854.17/22,268.16 = 7,448.07/x
  3. Step 3: Cross multiply
    14,854.17x = 22,268.16 × 7,448.07
  4. Step 4: Simplify right side
    14,854.17x = 165,854,814.45
  5. Step 5: Solve for x
    x = 165,854,814.45/14,854.17
  6. Step 6: Final answer
    x = 11,165.54

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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.