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Finding the Fourth Proportional to 14,117.82, 19,477.44 and 8,452.74

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Solution

The fourth proportional to 14,117.82, 19,477.44 and 8,452.74 is: 11,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.82 : 19,477.44 = 8,452.74 : x
  2. Step 2: Convert to fraction form
    14,117.82/19,477.44 = 8,452.74/x
  3. Step 3: Cross multiply
    14,117.82x = 19,477.44 × 8,452.74
  4. Step 4: Simplify right side
    14,117.82x = 164,637,736.19
  5. Step 5: Solve for x
    x = 164,637,736.19/14,117.82
  6. Step 6: Final answer
    x = 11,661.70

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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.