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Finding the Fourth Proportional to 14,927.71, 22,357.53 and 7,142.03

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Solution

The fourth proportional to 14,927.71, 22,357.53 and 7,142.03 is: 10,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,927.71 : 22,357.53 = 7,142.03 : x
  2. Step 2: Convert to fraction form
    14,927.71/22,357.53 = 7,142.03/x
  3. Step 3: Cross multiply
    14,927.71x = 22,357.53 × 7,142.03
  4. Step 4: Simplify right side
    14,927.71x = 159,678,114.28
  5. Step 5: Solve for x
    x = 159,678,114.28/14,927.71
  6. Step 6: Final answer
    x = 10,696.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.