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Finding the Fourth Proportional to 17,885.12, 24,675.76 and 10,330.46

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Solution

The fourth proportional to 17,885.12, 24,675.76 and 10,330.46 is: 14,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.12 : 24,675.76 = 10,330.46 : x
  2. Step 2: Convert to fraction form
    17,885.12/24,675.76 = 10,330.46/x
  3. Step 3: Cross multiply
    17,885.12x = 24,675.76 × 10,330.46
  4. Step 4: Simplify right side
    17,885.12x = 254,911,802.44
  5. Step 5: Solve for x
    x = 254,911,802.44/17,885.12
  6. Step 6: Final answer
    x = 14,252.73

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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.