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Finding the Fourth Proportional to 14,468.32, 19,967.94 and 8,180.56

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Solution

The fourth proportional to 14,468.32, 19,967.94 and 8,180.56 is: 11,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.32 : 19,967.94 = 8,180.56 : x
  2. Step 2: Convert to fraction form
    14,468.32/19,967.94 = 8,180.56/x
  3. Step 3: Cross multiply
    14,468.32x = 19,967.94 × 8,180.56
  4. Step 4: Simplify right side
    14,468.32x = 163,348,931.25
  5. Step 5: Solve for x
    x = 163,348,931.25/14,468.32
  6. Step 6: Final answer
    x = 11,290.11

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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.