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Finding the Fourth Proportional to 12,132.80, 16,742.07 and 6,827.50

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Solution

The fourth proportional to 12,132.80, 16,742.07 and 6,827.50 is: 9,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.80 : 16,742.07 = 6,827.50 : x
  2. Step 2: Convert to fraction form
    12,132.80/16,742.07 = 6,827.50/x
  3. Step 3: Cross multiply
    12,132.80x = 16,742.07 × 6,827.50
  4. Step 4: Simplify right side
    12,132.80x = 114,306,482.93
  5. Step 5: Solve for x
    x = 114,306,482.93/12,132.80
  6. Step 6: Final answer
    x = 9,421.28

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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.