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Finding the Fourth Proportional to 13,705.56, 18,911.63 and 8,038.17

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Solution

The fourth proportional to 13,705.56, 18,911.63 and 8,038.17 is: 11,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.56 : 18,911.63 = 8,038.17 : x
  2. Step 2: Convert to fraction form
    13,705.56/18,911.63 = 8,038.17/x
  3. Step 3: Cross multiply
    13,705.56x = 18,911.63 × 8,038.17
  4. Step 4: Simplify right side
    13,705.56x = 152,014,802.36
  5. Step 5: Solve for x
    x = 152,014,802.36/13,705.56
  6. Step 6: Final answer
    x = 11,091.47

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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.