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Finding the Fourth Proportional to 14,419.18, 19,904.88 and 9,646.66

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Solution

The fourth proportional to 14,419.18, 19,904.88 and 9,646.66 is: 13,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.18 : 19,904.88 = 9,646.66 : x
  2. Step 2: Convert to fraction form
    14,419.18/19,904.88 = 9,646.66/x
  3. Step 3: Cross multiply
    14,419.18x = 19,904.88 × 9,646.66
  4. Step 4: Simplify right side
    14,419.18x = 192,015,609.70
  5. Step 5: Solve for x
    x = 192,015,609.70/14,419.18
  6. Step 6: Final answer
    x = 13,316.68

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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.