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Finding the Fourth Proportional to 14,419.66, 19,886.70 and 9,382.04

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Solution

The fourth proportional to 14,419.66, 19,886.70 and 9,382.04 is: 12,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.66 : 19,886.70 = 9,382.04 : x
  2. Step 2: Convert to fraction form
    14,419.66/19,886.70 = 9,382.04/x
  3. Step 3: Cross multiply
    14,419.66x = 19,886.70 × 9,382.04
  4. Step 4: Simplify right side
    14,419.66x = 186,577,814.87
  5. Step 5: Solve for x
    x = 186,577,814.87/14,419.66
  6. Step 6: Final answer
    x = 12,939.13

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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.