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Finding the Fourth Proportional to 28,178.74, 38,886.60 and 16,242

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Solution

The fourth proportional to 28,178.74, 38,886.60 and 16,242 is: 22,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.74 : 38,886.60 = 16,242 : x
  2. Step 2: Convert to fraction form
    28,178.74/38,886.60 = 16,242/x
  3. Step 3: Cross multiply
    28,178.74x = 38,886.60 × 16,242
  4. Step 4: Simplify right side
    28,178.74x = 631,596,157.20
  5. Step 5: Solve for x
    x = 631,596,157.20/28,178.74
  6. Step 6: Final answer
    x = 22,413.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.