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Finding the Fourth Proportional to 13,507.61, 20,259.32 and 5,191.52

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Solution

The fourth proportional to 13,507.61, 20,259.32 and 5,191.52 is: 7,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.61 : 20,259.32 = 5,191.52 : x
  2. Step 2: Convert to fraction form
    13,507.61/20,259.32 = 5,191.52/x
  3. Step 3: Cross multiply
    13,507.61x = 20,259.32 × 5,191.52
  4. Step 4: Simplify right side
    13,507.61x = 105,176,537.71
  5. Step 5: Solve for x
    x = 105,176,537.71/13,507.61
  6. Step 6: Final answer
    x = 7,786.47

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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.