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Finding the Fourth Proportional to 15,607.49, 23,413.55 and 5,746.05

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Solution

The fourth proportional to 15,607.49, 23,413.55 and 5,746.05 is: 8,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.49 : 23,413.55 = 5,746.05 : x
  2. Step 2: Convert to fraction form
    15,607.49/23,413.55 = 5,746.05/x
  3. Step 3: Cross multiply
    15,607.49x = 23,413.55 × 5,746.05
  4. Step 4: Simplify right side
    15,607.49x = 134,535,400.25
  5. Step 5: Solve for x
    x = 134,535,400.25/15,607.49
  6. Step 6: Final answer
    x = 8,619.93

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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.