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Finding the Fourth Proportional to 13,005.60, 19,518.56 and 5,219.52

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Solution

The fourth proportional to 13,005.60, 19,518.56 and 5,219.52 is: 7,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.60 : 19,518.56 = 5,219.52 : x
  2. Step 2: Convert to fraction form
    13,005.60/19,518.56 = 5,219.52/x
  3. Step 3: Cross multiply
    13,005.60x = 19,518.56 × 5,219.52
  4. Step 4: Simplify right side
    13,005.60x = 101,877,514.29
  5. Step 5: Solve for x
    x = 101,877,514.29/13,005.60
  6. Step 6: Final answer
    x = 7,833.36

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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.