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Finding the Fourth Proportional to 17,973.69, 24,803.80 and 10,424.50

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Solution

The fourth proportional to 17,973.69, 24,803.80 and 10,424.50 is: 14,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.69 : 24,803.80 = 10,424.50 : x
  2. Step 2: Convert to fraction form
    17,973.69/24,803.80 = 10,424.50/x
  3. Step 3: Cross multiply
    17,973.69x = 24,803.80 × 10,424.50
  4. Step 4: Simplify right side
    17,973.69x = 258,567,213.10
  5. Step 5: Solve for x
    x = 258,567,213.10/17,973.69
  6. Step 6: Final answer
    x = 14,385.87

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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.