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Finding the Fourth Proportional to 12,533.48, 18,802.70 and 5,608.04

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Solution

The fourth proportional to 12,533.48, 18,802.70 and 5,608.04 is: 8,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.48 : 18,802.70 = 5,608.04 : x
  2. Step 2: Convert to fraction form
    12,533.48/18,802.70 = 5,608.04/x
  3. Step 3: Cross multiply
    12,533.48x = 18,802.70 × 5,608.04
  4. Step 4: Simplify right side
    12,533.48x = 105,446,293.71
  5. Step 5: Solve for x
    x = 105,446,293.71/12,533.48
  6. Step 6: Final answer
    x = 8,413.17

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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.