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Finding the Fourth Proportional to 17,756.30, 24,502.86 and 10,197.30

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Solution

The fourth proportional to 17,756.30, 24,502.86 and 10,197.30 is: 14,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.30 : 24,502.86 = 10,197.30 : x
  2. Step 2: Convert to fraction form
    17,756.30/24,502.86 = 10,197.30/x
  3. Step 3: Cross multiply
    17,756.30x = 24,502.86 × 10,197.30
  4. Step 4: Simplify right side
    17,756.30x = 249,863,014.28
  5. Step 5: Solve for x
    x = 249,863,014.28/17,756.30
  6. Step 6: Final answer
    x = 14,071.80

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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.