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Finding the Fourth Proportional to 17,564.40, 24,237.84 and 9,605.04

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Solution

The fourth proportional to 17,564.40, 24,237.84 and 9,605.04 is: 13,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.40 : 24,237.84 = 9,605.04 : x
  2. Step 2: Convert to fraction form
    17,564.40/24,237.84 = 9,605.04/x
  3. Step 3: Cross multiply
    17,564.40x = 24,237.84 × 9,605.04
  4. Step 4: Simplify right side
    17,564.40x = 232,805,422.71
  5. Step 5: Solve for x
    x = 232,805,422.71/17,564.40
  6. Step 6: Final answer
    x = 13,254.39

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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.