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Finding the Fourth Proportional to 18,095.76, 24,958.80 and 11,376

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Solution

The fourth proportional to 18,095.76, 24,958.80 and 11,376 is: 15,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,095.76 : 24,958.80 = 11,376 : x
  2. Step 2: Convert to fraction form
    18,095.76/24,958.80 = 11,376/x
  3. Step 3: Cross multiply
    18,095.76x = 24,958.80 × 11,376
  4. Step 4: Simplify right side
    18,095.76x = 283,931,308.80
  5. Step 5: Solve for x
    x = 283,931,308.80/18,095.76
  6. Step 6: Final answer
    x = 15,690.49

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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.