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Finding the Fourth Proportional to 15,602.81, 23,413.46 and 5,749.01

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Solution

The fourth proportional to 15,602.81, 23,413.46 and 5,749.01 is: 8,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.81 : 23,413.46 = 5,749.01 : x
  2. Step 2: Convert to fraction form
    15,602.81/23,413.46 = 5,749.01/x
  3. Step 3: Cross multiply
    15,602.81x = 23,413.46 × 5,749.01
  4. Step 4: Simplify right side
    15,602.81x = 134,604,069.86
  5. Step 5: Solve for x
    x = 134,604,069.86/15,602.81
  6. Step 6: Final answer
    x = 8,626.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.