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Finding the Fourth Proportional to 14,409.47, 19,886.68 and 8,446.19

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Solution

The fourth proportional to 14,409.47, 19,886.68 and 8,446.19 is: 11,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.47 : 19,886.68 = 8,446.19 : x
  2. Step 2: Convert to fraction form
    14,409.47/19,886.68 = 8,446.19/x
  3. Step 3: Cross multiply
    14,409.47x = 19,886.68 × 8,446.19
  4. Step 4: Simplify right side
    14,409.47x = 167,966,677.75
  5. Step 5: Solve for x
    x = 167,966,677.75/14,409.47
  6. Step 6: Final answer
    x = 11,656.69

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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.