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Finding the Fourth Proportional to 17,566.51, 24,239.14 and 10,013.50

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Solution

The fourth proportional to 17,566.51, 24,239.14 and 10,013.50 is: 13,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.51 : 24,239.14 = 10,013.50 : x
  2. Step 2: Convert to fraction form
    17,566.51/24,239.14 = 10,013.50/x
  3. Step 3: Cross multiply
    17,566.51x = 24,239.14 × 10,013.50
  4. Step 4: Simplify right side
    17,566.51x = 242,718,551.40
  5. Step 5: Solve for x
    x = 242,718,551.40/17,566.51
  6. Step 6: Final answer
    x = 13,817.12

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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.