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Finding the Fourth Proportional to 13,316.49, 19,955.69 and 9,778.74

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Solution

The fourth proportional to 13,316.49, 19,955.69 and 9,778.74 is: 14,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,316.49 : 19,955.69 = 9,778.74 : x
  2. Step 2: Convert to fraction form
    13,316.49/19,955.69 = 9,778.74/x
  3. Step 3: Cross multiply
    13,316.49x = 19,955.69 × 9,778.74
  4. Step 4: Simplify right side
    13,316.49x = 195,141,404.25
  5. Step 5: Solve for x
    x = 195,141,404.25/13,316.49
  6. Step 6: Final answer
    x = 14,654.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.