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Finding the Fourth Proportional to 15,773.80, 23,675.16 and 7,988.08

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Solution

The fourth proportional to 15,773.80, 23,675.16 and 7,988.08 is: 11,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.80 : 23,675.16 = 7,988.08 : x
  2. Step 2: Convert to fraction form
    15,773.80/23,675.16 = 7,988.08/x
  3. Step 3: Cross multiply
    15,773.80x = 23,675.16 × 7,988.08
  4. Step 4: Simplify right side
    15,773.80x = 189,119,072.09
  5. Step 5: Solve for x
    x = 189,119,072.09/15,773.80
  6. Step 6: Final answer
    x = 11,989.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.