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Finding the Fourth Proportional to 17,762.34, 24,510.71 and 10,208.69

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Solution

The fourth proportional to 17,762.34, 24,510.71 and 10,208.69 is: 14,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.34 : 24,510.71 = 10,208.69 : x
  2. Step 2: Convert to fraction form
    17,762.34/24,510.71 = 10,208.69/x
  3. Step 3: Cross multiply
    17,762.34x = 24,510.71 × 10,208.69
  4. Step 4: Simplify right side
    17,762.34x = 250,222,066.47
  5. Step 5: Solve for x
    x = 250,222,066.47/17,762.34
  6. Step 6: Final answer
    x = 14,087.22

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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.