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Finding the Fourth Proportional to 23,197.86, 34,801.53 and 9,870.84

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Solution

The fourth proportional to 23,197.86, 34,801.53 and 9,870.84 is: 14,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.86 : 34,801.53 = 9,870.84 : x
  2. Step 2: Convert to fraction form
    23,197.86/34,801.53 = 9,870.84/x
  3. Step 3: Cross multiply
    23,197.86x = 34,801.53 × 9,870.84
  4. Step 4: Simplify right side
    23,197.86x = 343,520,334.39
  5. Step 5: Solve for x
    x = 343,520,334.39/23,197.86
  6. Step 6: Final answer
    x = 14,808.28

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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.