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Finding the Fourth Proportional to 19,248.38, 28,875 and 6,096.06

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Solution

The fourth proportional to 19,248.38, 28,875 and 6,096.06 is: 9,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248.38 : 28,875 = 6,096.06 : x
  2. Step 2: Convert to fraction form
    19,248.38/28,875 = 6,096.06/x
  3. Step 3: Cross multiply
    19,248.38x = 28,875 × 6,096.06
  4. Step 4: Simplify right side
    19,248.38x = 176,023,732.50
  5. Step 5: Solve for x
    x = 176,023,732.50/19,248.38
  6. Step 6: Final answer
    x = 9,144.86

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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.