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Finding the Fourth Proportional to 17,762.81, 24,514.61 and 10,209.47

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Solution

The fourth proportional to 17,762.81, 24,514.61 and 10,209.47 is: 14,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.81 : 24,514.61 = 10,209.47 : x
  2. Step 2: Convert to fraction form
    17,762.81/24,514.61 = 10,209.47/x
  3. Step 3: Cross multiply
    17,762.81x = 24,514.61 × 10,209.47
  4. Step 4: Simplify right side
    17,762.81x = 250,281,001.74
  5. Step 5: Solve for x
    x = 250,281,001.74/17,762.81
  6. Step 6: Final answer
    x = 14,090.17

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