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Finding the Fourth Proportional to 14,442.50, 19,930.71 and 7,818.50

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Solution

The fourth proportional to 14,442.50, 19,930.71 and 7,818.50 is: 10,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.50 : 19,930.71 = 7,818.50 : x
  2. Step 2: Convert to fraction form
    14,442.50/19,930.71 = 7,818.50/x
  3. Step 3: Cross multiply
    14,442.50x = 19,930.71 × 7,818.50
  4. Step 4: Simplify right side
    14,442.50x = 155,828,256.14
  5. Step 5: Solve for x
    x = 155,828,256.14/14,442.50
  6. Step 6: Final answer
    x = 10,789.56

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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.