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Finding the Fourth Proportional to 17,802.40, 24,572.36 and 10,729.24

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Solution

The fourth proportional to 17,802.40, 24,572.36 and 10,729.24 is: 14,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.40 : 24,572.36 = 10,729.24 : x
  2. Step 2: Convert to fraction form
    17,802.40/24,572.36 = 10,729.24/x
  3. Step 3: Cross multiply
    17,802.40x = 24,572.36 × 10,729.24
  4. Step 4: Simplify right side
    17,802.40x = 263,642,747.81
  5. Step 5: Solve for x
    x = 263,642,747.81/17,802.40
  6. Step 6: Final answer
    x = 14,809.39

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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.