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Finding the Fourth Proportional to 17,985.65, 24,804.02 and 11,271.96

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Solution

The fourth proportional to 17,985.65, 24,804.02 and 11,271.96 is: 15,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.65 : 24,804.02 = 11,271.96 : x
  2. Step 2: Convert to fraction form
    17,985.65/24,804.02 = 11,271.96/x
  3. Step 3: Cross multiply
    17,985.65x = 24,804.02 × 11,271.96
  4. Step 4: Simplify right side
    17,985.65x = 279,589,949.46
  5. Step 5: Solve for x
    x = 279,589,949.46/17,985.65
  6. Step 6: Final answer
    x = 15,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.