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Finding the Fourth Proportional to 17,802.20, 24,567.08 and 10,248.39

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Solution

The fourth proportional to 17,802.20, 24,567.08 and 10,248.39 is: 14,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.20 : 24,567.08 = 10,248.39 : x
  2. Step 2: Convert to fraction form
    17,802.20/24,567.08 = 10,248.39/x
  3. Step 3: Cross multiply
    17,802.20x = 24,567.08 × 10,248.39
  4. Step 4: Simplify right side
    17,802.20x = 251,772,965.76
  5. Step 5: Solve for x
    x = 251,772,965.76/17,802.20
  6. Step 6: Final answer
    x = 14,142.80

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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.