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Finding the Fourth Proportional to 17,777.75, 24,534.45 and 9,820.08

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Solution

The fourth proportional to 17,777.75, 24,534.45 and 9,820.08 is: 13,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.75 : 24,534.45 = 9,820.08 : x
  2. Step 2: Convert to fraction form
    17,777.75/24,534.45 = 9,820.08/x
  3. Step 3: Cross multiply
    17,777.75x = 24,534.45 × 9,820.08
  4. Step 4: Simplify right side
    17,777.75x = 240,930,261.76
  5. Step 5: Solve for x
    x = 240,930,261.76/17,777.75
  6. Step 6: Final answer
    x = 13,552.35

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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.