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Finding the Fourth Proportional to 13,101.85, 19,657.64 and 5,316.13

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Solution

The fourth proportional to 13,101.85, 19,657.64 and 5,316.13 is: 7,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.85 : 19,657.64 = 5,316.13 : x
  2. Step 2: Convert to fraction form
    13,101.85/19,657.64 = 5,316.13/x
  3. Step 3: Cross multiply
    13,101.85x = 19,657.64 × 5,316.13
  4. Step 4: Simplify right side
    13,101.85x = 104,502,569.73
  5. Step 5: Solve for x
    x = 104,502,569.73/13,101.85
  6. Step 6: Final answer
    x = 7,976.17

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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.