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Finding the Fourth Proportional to 13,005.09, 19,502.73 and 5,608.98

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Solution

The fourth proportional to 13,005.09, 19,502.73 and 5,608.98 is: 8,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.09 : 19,502.73 = 5,608.98 : x
  2. Step 2: Convert to fraction form
    13,005.09/19,502.73 = 5,608.98/x
  3. Step 3: Cross multiply
    13,005.09x = 19,502.73 × 5,608.98
  4. Step 4: Simplify right side
    13,005.09x = 109,390,422.52
  5. Step 5: Solve for x
    x = 109,390,422.52/13,005.09
  6. Step 6: Final answer
    x = 8,411.35

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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.