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Finding the Fourth Proportional to 17,953.16, 24,771.74 and 10,875.47

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Solution

The fourth proportional to 17,953.16, 24,771.74 and 10,875.47 is: 15,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.16 : 24,771.74 = 10,875.47 : x
  2. Step 2: Convert to fraction form
    17,953.16/24,771.74 = 10,875.47/x
  3. Step 3: Cross multiply
    17,953.16x = 24,771.74 × 10,875.47
  4. Step 4: Simplify right side
    17,953.16x = 269,404,136.98
  5. Step 5: Solve for x
    x = 269,404,136.98/17,953.16
  6. Step 6: Final answer
    x = 15,005.95

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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.