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Finding the Fourth Proportional to 13,130.74, 19,705.18 and 5,232.48

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Solution

The fourth proportional to 13,130.74, 19,705.18 and 5,232.48 is: 7,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.74 : 19,705.18 = 5,232.48 : x
  2. Step 2: Convert to fraction form
    13,130.74/19,705.18 = 5,232.48/x
  3. Step 3: Cross multiply
    13,130.74x = 19,705.18 × 5,232.48
  4. Step 4: Simplify right side
    13,130.74x = 103,106,960.25
  5. Step 5: Solve for x
    x = 103,106,960.25/13,130.74
  6. Step 6: Final answer
    x = 7,852.33

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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.