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Finding the Fourth Proportional to 14,468.10, 19,965.18 and 8,180.08

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Solution

The fourth proportional to 14,468.10, 19,965.18 and 8,180.08 is: 11,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.10 : 19,965.18 = 8,180.08 : x
  2. Step 2: Convert to fraction form
    14,468.10/19,965.18 = 8,180.08/x
  3. Step 3: Cross multiply
    14,468.10x = 19,965.18 × 8,180.08
  4. Step 4: Simplify right side
    14,468.10x = 163,316,769.61
  5. Step 5: Solve for x
    x = 163,316,769.61/14,468.10
  6. Step 6: Final answer
    x = 11,288.06

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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.