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Finding the Fourth Proportional to 10,981.66, 16,478.80 and 10,892.50

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Solution

The fourth proportional to 10,981.66, 16,478.80 and 10,892.50 is: 16,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.66 : 16,478.80 = 10,892.50 : x
  2. Step 2: Convert to fraction form
    10,981.66/16,478.80 = 10,892.50/x
  3. Step 3: Cross multiply
    10,981.66x = 16,478.80 × 10,892.50
  4. Step 4: Simplify right side
    10,981.66x = 179,495,329
  5. Step 5: Solve for x
    x = 179,495,329/10,981.66
  6. Step 6: Final answer
    x = 16,345.01

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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.