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Finding the Fourth Proportional to 13,905.69, 19,189.76 and 7,617.93

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Solution

The fourth proportional to 13,905.69, 19,189.76 and 7,617.93 is: 10,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.69 : 19,189.76 = 7,617.93 : x
  2. Step 2: Convert to fraction form
    13,905.69/19,189.76 = 7,617.93/x
  3. Step 3: Cross multiply
    13,905.69x = 19,189.76 × 7,617.93
  4. Step 4: Simplify right side
    13,905.69x = 146,186,210.31
  5. Step 5: Solve for x
    x = 146,186,210.31/13,905.69
  6. Step 6: Final answer
    x = 10,512.69

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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.