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Finding the Fourth Proportional to 15,413.40, 23,101.51 and 7,504.06

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Solution

The fourth proportional to 15,413.40, 23,101.51 and 7,504.06 is: 11,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.40 : 23,101.51 = 7,504.06 : x
  2. Step 2: Convert to fraction form
    15,413.40/23,101.51 = 7,504.06/x
  3. Step 3: Cross multiply
    15,413.40x = 23,101.51 × 7,504.06
  4. Step 4: Simplify right side
    15,413.40x = 173,355,117.13
  5. Step 5: Solve for x
    x = 173,355,117.13/15,413.40
  6. Step 6: Final answer
    x = 11,247.04

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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.