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Finding the Fourth Proportional to 13,243.16, 19,862.58 and 4,007

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Solution

The fourth proportional to 13,243.16, 19,862.58 and 4,007 is: 6,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.16 : 19,862.58 = 4,007 : x
  2. Step 2: Convert to fraction form
    13,243.16/19,862.58 = 4,007/x
  3. Step 3: Cross multiply
    13,243.16x = 19,862.58 × 4,007
  4. Step 4: Simplify right side
    13,243.16x = 79,589,358.06
  5. Step 5: Solve for x
    x = 79,589,358.06/13,243.16
  6. Step 6: Final answer
    x = 6,009.85

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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.