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Finding the Fourth Proportional to 13,044.30, 19,570.05 and 5,258.58

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Solution

The fourth proportional to 13,044.30, 19,570.05 and 5,258.58 is: 7,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.30 : 19,570.05 = 5,258.58 : x
  2. Step 2: Convert to fraction form
    13,044.30/19,570.05 = 5,258.58/x
  3. Step 3: Cross multiply
    13,044.30x = 19,570.05 × 5,258.58
  4. Step 4: Simplify right side
    13,044.30x = 102,910,673.53
  5. Step 5: Solve for x
    x = 102,910,673.53/13,044.30
  6. Step 6: Final answer
    x = 7,889.32

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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.