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Finding the Fourth Proportional to 18,985.64, 28,495.81 and 9,632.10

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Solution

The fourth proportional to 18,985.64, 28,495.81 and 9,632.10 is: 14,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,985.64 : 28,495.81 = 9,632.10 : x
  2. Step 2: Convert to fraction form
    18,985.64/28,495.81 = 9,632.10/x
  3. Step 3: Cross multiply
    18,985.64x = 28,495.81 × 9,632.10
  4. Step 4: Simplify right side
    18,985.64x = 274,474,491.50
  5. Step 5: Solve for x
    x = 274,474,491.50/18,985.64
  6. Step 6: Final answer
    x = 14,456.95

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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.