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Finding the Fourth Proportional to 21,457.51, 32,178.37 and 7,413.93

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Solution

The fourth proportional to 21,457.51, 32,178.37 and 7,413.93 is: 11,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.51 : 32,178.37 = 7,413.93 : x
  2. Step 2: Convert to fraction form
    21,457.51/32,178.37 = 7,413.93/x
  3. Step 3: Cross multiply
    21,457.51x = 32,178.37 × 7,413.93
  4. Step 4: Simplify right side
    21,457.51x = 238,568,182.69
  5. Step 5: Solve for x
    x = 238,568,182.69/21,457.51
  6. Step 6: Final answer
    x = 11,118.17

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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.